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#1 2006-12-27 11:16:46

Kiran
Member
Registered: 2006-11-15
Posts: 177

two player

how many different two  player thumb-wrestling teams could be formed from 5 players?


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#2 2006-12-27 11:57:28

luca-deltodesco
Member
Registered: 2006-05-05
Posts: 1,470

Re: two player

let them be a->e

ab,ac,ad,ae,bc,bd,be,cd,ce,de = 10 combinations.

Last edited by luca-deltodesco (2006-12-27 11:57:37)


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#3 2006-12-27 12:34:58

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,713

Re: two player

Exactly Right.

Also try: Combinations and Permutations Calculator (Order Important: No, Repetition: No), which gives:

"Combinations without Repetition (n=5, r=2)
{a,b} {a,c} {a,d} {a,e} {b,c} {b,d} {b,e} {c,d} {c,e} {d,e} "


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#4 2006-12-28 04:02:55

Kiran
Member
Registered: 2006-11-15
Posts: 177

Re: two player

Yup thats the exact answer i got last night when i was doing it.
but i did it a different way.
i wrote
1 2 3 4 5
and paired it up
like
12
34
45
42
41
and etc.....and there are only 10ways i got
thanks btw


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#5 2006-12-28 09:33:49

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,713

Re: two player

For small problems that works fine.

But then ask how many different 4-player teams could be formed with 40 people, and you find that the mathematics becomes easier.


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#6 2006-12-29 02:51:05

er.neerajsrivastava
Member
Registered: 2006-12-27
Posts: 9

Re: two player

is it necessary for simle things to make it on difficult way it is as simple as nCr like so take a right step. definately it will increase the way of thinking for big nos.

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