Two ants begin on opposite corners of a cube. On each move, they can travel along an edge to an adjacent vertex. The probability they both return to their starting position after 4 moves is `(m)/(n)`, where "m" and "n" are relatively prime positive integers, then "m+n" is

Let lim_(x rarr oo)x ln(e(1+(1)/(x))^(1-x)) equal (m)/(n) where m and n are relatively prime positive integ Find (m+n).

If (m)=64, where m and n are positive integers,find the value of n)^(mn)..

The value of sum_(k=0)^(oo)(k^(2))/(4^(k)) can be written as (m)/(n) where m and n are relatively prime positive integers.Then the value of (m+n) is

n|sin x|=m|cos|in[0,2 pi] where n>m and are positive integers

If m!=n where m,n are positive integers,then int sin mx sin nxdx=

The number of all pairs (m, n), where m and n are positive integers, such that 1/(m)+1/(n)+1/(mn)=2/(5) is

Mr. B has two fair 6-sided dice, one whose faces are numbered 1 to 6 and the second whose faces are numbered 3 to 8. Twice, he randomly picks one of dice (each dice equally likely) and rolls it. Given the sum of the resulting two rolls is 9, The probability he rolled same dice twice is (m)/(n) where m and n are relatively prime positive integers. Then the value of (m+n) is