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thanks bob and anonim
but how can i get
consider a function
on non-negative integers such thatand
forThen show that
Answer given in Book is Like this way
So
But I did not Understant Second line
Thanks
3 no. are choosen from {1,2,3,..........,8} with replacement, Then find the probability that min of choosen no. is = 3
Given that max. of choosen no. is = 6
Thanks anonimnystefy Got it
Let
be the roots of Given EquationNow all Roots are Imaginary and lie on
and Imaginary Roots are always occur in pair
so Let
andSimilarly
andNow Using Vieta, s Formula
So
So
because
Let a,b,c,d be real numbers. Sauppose that all the roots of the equation z^4 + az^3 + bz^2 + cz + d = 0 are complex numbers
lying on the circle |z| = 1 in the complex plane. The sum of the reciprocals of the roots is necessarily:
options;
a) a
b) b
c) -c
d) d
Thanks Bob I am trying to understant it
To bobbym How can we get it
To anonimnystefy how can we find total no. of matrices using 4 (1,s) and rest all zero
Thanks
edited
How many integers from to 1 to 10^6 ( both inclusive ) are neither perfect squares nor perfect cube nor perfect fourth powers
Thanks Bob
I want more explanation
Thanks gar explanation required
2 players A and B play a series of 2n games. Each game can result in either a win or a loss for A. Find the total no. of ways in which A can win the series of these games. (All the games are to be played)
The no. of 3×3 non - singular matrices matrices, with four entries as 1 and all other entries as 0
Thanks bobbym got it
(2) Let
Using Triangle Inequality
Where
So
equality hold when
So
So
atSo
GIVEN: The Largest number of ways in which 6 persons each throwing a single dice once make a sum of 17 is n. Then find [n/1000]
where [.] is the Greatest integer function
the number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is empty......give proper explaination plz
Yes Bobbym , but would you like to explain it plz
Thanks Moderators, but I want explanation for that answer
Thanks
but bobbym I didnot understand how we multiply Coeff. of x^5 by 120
Thanks Bobbym and Bobbundy .
ans = 150
4 fair dice
, each having six faces numbred are Rolled simultaneously.The Probability that
shows a number apperaring on one of and isMaximum value of function
where
The Total no. of ways in which
balls of Different Color can be Distributed among personsso that each person gets at least one balls is
If
is divided by then the remainder is , when is divided by remainder is . what is the remainder when is divided by .