Maths-
General
Easy

Question

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

5    21    38    8C3

Hint:

A permutation is the non-replaceable selection of r items from a set of n items in which the order is important.A combination is created by selecting r items from a group of n items without replacing them and without regard to their order.Here we have given the word as: MISSISSIPPI.Here we have to find the number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty. So:I = 4 times,S= 4 times,P = 2 times,M= 1 timeSo the number of words will be:

The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations. When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination. So the final answer is 21.