Math Is Fun Forum
You are not logged in.
- Topics: Active | Unanswered
#326 2008-01-30 21:26:07
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,410
Re: Cow Bull 1
Guess 3 : 154
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
#327 2008-01-30 21:40:33
- NullRoot
- Member
- Registered: 2007-11-19
- Posts: 162
Re: Cow Bull 1
We're too bloody good at this game. I know I should have gone with a 6-digit binary number 
Guess 3: 154 2B
Trillian: Five to one against and falling. Four to one against and falling Three to one, two, one. Probability factor of one to one. We have normality. I repeat, we have normality. Anything you still cant cope with is therefore your own problem.
Offline
#328 2008-01-30 21:43:19
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,410
Re: Cow Bull 1
Guess 4 : 184
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
#329 2008-01-30 23:57:47
- NullRoot
- Member
- Registered: 2007-11-19
- Posts: 162
Re: Cow Bull 1
Yep. Well done, Ganesh.
Trillian: Five to one against and falling. Four to one against and falling Three to one, two, one. Probability factor of one to one. We have normality. I repeat, we have normality. Anything you still cant cope with is therefore your own problem.
Offline
#330 2008-01-31 17:40:08
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,410
Re: Cow Bull 1
Thanks, NullRoot! Next game....who thinks?
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
#331 2008-02-01 21:25:28
- JohnnyReinB
- Member
- Registered: 2007-10-08
- Posts: 453
Re: Cow Bull 1
'Kay, I've thought of a non-repetitive one. "Guess Away!"
"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted"
Nisi Quam Primum, Nequequam
Offline
#332 2008-02-02 01:03:46
- mathsyperson
- Moderator
- Registered: 2005-06-22
- Posts: 4,900
Re: Cow Bull 1
Guess 1: 271
Why did the vector cross the road?
It wanted to be normal.
Offline
#333 2008-02-02 01:26:09
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,410
Re: Cow Bull 1
Guess 2 : 346
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
#334 2008-02-02 01:28:17
- JohnnyReinB
- Member
- Registered: 2007-10-08
- Posts: 453
Re: Cow Bull 1
Guess 1: NIL
Guess 2: 2cows
"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted"
Nisi Quam Primum, Nequequam
Offline
#335 2008-02-02 01:42:58
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,410
Re: Cow Bull 1
Guess 3 : 476
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
#336 2008-02-02 01:45:29
- JohnnyReinB
- Member
- Registered: 2007-10-08
- Posts: 453
Re: Cow Bull 1
Guess 3: 1B1C
"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted"
Nisi Quam Primum, Nequequam
Offline
#337 2008-02-02 01:52:39
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,410
Re: Cow Bull 1
Guess 4: 465
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
#338 2008-02-02 02:03:16
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,410
Re: Cow Bull 1
Guess 5 : 467
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
#339 2008-02-02 02:05:10
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,410
Re: Cow Bull 1
Interestingly, Cow bull of 3 digits is the easiest! Cow bull of 2 digits or 4 digits make things more complicated and end up with more guesses! This is true of cow bull of 5 digits or more too! 3 is closest to e, now you know why, being a mathematician!
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
#340 2008-02-02 02:27:05
- mathsyperson
- Moderator
- Registered: 2005-06-22
- Posts: 4,900
Re: Cow Bull 1
Guess 6: 789.
Once these guesses have been answered, I believe we'll be able to get it at 7 (if we didn't at 4)
Why did the vector cross the road?
It wanted to be normal.
Offline
#341 2008-02-02 16:21:45
- JohnnyReinB
- Member
- Registered: 2007-10-08
- Posts: 453
Re: Cow Bull 1
Guess 4: 465: 2B
Guess 5: 467: 2B
Guess 6: 789: 1B
I Agree. The next one to post will most likely get it
"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted"
Nisi Quam Primum, Nequequam
Offline
#342 2008-02-02 23:02:50
- Jai Ganesh
- Administrator
- Registered: 2005-06-28
- Posts: 48,410
Re: Cow Bull 1
Guess 7 : 469
I think this is it, 7 guesses as mathsy had said.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
#343 2008-02-03 23:35:53
- JohnnyReinB
- Member
- Registered: 2007-10-08
- Posts: 453
Re: Cow Bull 1
Hehe, you got it!!!!!
"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted"
Nisi Quam Primum, Nequequam
Offline
#344 2008-02-12 01:12:33
- JohnnyReinB
- Member
- Registered: 2007-10-08
- Posts: 453
Re: Cow Bull 1
No one? 'kay, my turn again, I guess. Guess away!
"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted"
Nisi Quam Primum, Nequequam
Offline
#345 2008-02-12 02:48:01
- mathsyperson
- Moderator
- Registered: 2005-06-22
- Posts: 4,900
Re: Cow Bull 1
Guess 1: 162
Why did the vector cross the road?
It wanted to be normal.
Offline
#346 2008-02-12 22:16:42
- JohnnyReinB
- Member
- Registered: 2007-10-08
- Posts: 453
Re: Cow Bull 1
1: 162: 1c
"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted"
Nisi Quam Primum, Nequequam
Offline
#347 2008-02-12 23:23:39
- JaneFairfax
- Member
- Registered: 2007-02-23
- Posts: 6,868
Re: Cow Bull 1
Guess 2: 314
PS: Lets recap the rules: no repetition, and no starting with 0, right?
Then 162 = 1c ⇒ there are 216 possibilities:
230 234 235 237 238 239 240 243 245 247 248 249 250 253 254 257 258 259 270 273 274 275 278 279 280 283 284 285 287 289 290 293 294 295 297 298 301 306 310 314 315 317 318 319 320 324 325 327 328 329 341 346 351 356 371 376 381 386 391 396 401 406 410 413 415 417 418 419 420 423 425 427 428 429 431 436 451 456 471 476 481 486 491 496 501 506 510 513 514 517 518 519 520 523 524 527 528 529 531 536 541 546 571 576 581 586 591 596 630 634 635 637 638 639 640 643 645 647 648 649 650 653 654 657 658 659 670 673 674 675 678 679 680 683 684 685 687 689 690 693 694 695 697 698 701 706 710 713 714 715 718 719 720 723 724 725 728 729 731 736 741 746 751 756 781 786 791 796 801 806 810 813 814 815 817 819 820 823 824 825 827 829 831 836 841 846 851 856 871 876 891 896 901 906 910 913 914 915 917 918 920 923 924 925 927 928 931 936 941 946 951 956 971 976 981 986
Last edited by JaneFairfax (2008-02-13 01:51:28)
Offline
#348 2008-02-13 04:25:55
- mathsyperson
- Moderator
- Registered: 2005-06-22
- Posts: 4,900
Re: Cow Bull 1
You look like you're right, but I can't reproduce your answer. Here's my thinking:
First consider the case when the "cow number" gets positioned in the hundreds place. Then it must have come from the 10 or 1 place and so there are 2 choices for that. Now there are 7 choices of digit for the ten place, and then 6 choices for the 1 place, making 2x7x6 = 84 combinations in all.
Now consider the case when the "cow number" goes somewhere other than the hundreds place. There are two choices of place for it to go, and two choices of number for it to be.
Now the hundreds place has 6 choices of digit (not 0, 1, 2 or 6) and whatever place isn't cowed also has 6 choices (not 1, 2, 6 or whatever the hundreds digit is). That makes 2x2x6x6 = 144 combinations.
Adding the results from the two cases together, we get 228 possible numbers in total.
Have I gone wrong somewhere?
Why did the vector cross the road?
It wanted to be normal.
Offline
#349 2008-02-13 05:03:06
- JaneFairfax
- Member
- Registered: 2007-02-23
- Posts: 6,868
Re: Cow Bull 1
Youre right, there are 228 of them. Here are the 12 that I missed. 
203 204 205 207 208 209 603 604 605 607 608 609
Offline
#350 2008-02-13 23:03:57
- JohnnyReinB
- Member
- Registered: 2007-10-08
- Posts: 453
Re: Cow Bull 1
Wow.
'kay, Recap:
Guess 1: 162: 1C
Guess 2: 314: 2B
"There is not a difference between an in-law and an outlaw, except maybe that an outlaw is wanted"
Nisi Quam Primum, Nequequam
Offline