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 1 to n + 1. The number of ways in which the balls can be arranged in a row so that adjacent balls are of different colours, is

If n different objects are to placed in m places then the number of ways of placing is:

Then number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is

Find the number of ways in which 5 distinct balls can be distributed in three different boxes if no box remains empty.

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.

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).

Find the total number of way in which n distinct objects can be put into two different boxes

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 'n' different books and 'p' copies of each. The number of ways in which a selection can be made from them is

The number of ways of selecting 10 balls from unlimited number of red, black, white and green balls, is