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:
By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented. 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.
The correct answer is: 21
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 time
So 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.
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