There are `n` distinct white and `n` distinct black ball. If the number of ways of arranging them in a row so that neighbouring balls are of different colors is 1152, then value of `n` is _________.

There are (n+1) white and (n+1) black balls, each set numbered 1ton+1. The number of ways in which the balls can be arranged in a row so that the adjacent balls are of different colors is a. (2n+2)! b. (2n+2)!xx2 c. (n+1)!xx2 d. 2{(n+1)!}^2

The number of ways of arranging 6 players to throw the cricket ball so that oldest player may not throw first is

if n objects are arranged in a row then the number of ways of selecting three of these objects so that no two of them are next to each other is

A bag contains 3 red, 7 white, and 4 black balls. If three balls are drawn from the bag, then find the probability that all of them are of the same color.

There are n distinct points on the circumference of a circle. If the number of pentagons that can be formed with these points as vertices is equal to the number of possible triangles, then the value of n is-

Out of 10 white, 9 black, and 7 red balls, find the number of ways in which selection of one or more balls can be made (balls of the same color are identical).

The mean deviation about median of n distinct numbers is

The number of subsets of a set containing n distinct elements is

2m white counters and 2n red counters are arranged in a straight line with (m+n) counters on each side of central mark. The number of ways of arranging the counters, so that the arrangements are symmetrical with respect to the central mark is (A) .^(m+n)C_m (B) .^(2m+2n)C_(2m) (C) 1/2 ((m+n)!)/(m! n!) (D) None of these

There are p copies each of n different books. Find the number of ways in which a nonempty selection can be made from them.