Question

# How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which not two S are adjacent ?

- 6. 7.
^{8}C_{4}
- 6. 8.
^{7}C_{4}
- 7.
^{6}C_{4} . ^{8}C_{4}
- 8.
^{6}C_{4} . ^{7}C_{4}

^{8}C_{4}^{7}C_{4}^{6}C_{4}.^{8}C_{4}^{6}C_{4}.^{7}C_{4}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 different words can be formed by jumbling the letters in the word MISSISSIPPI in which not two S are adjacent.

## The correct answer is: 7. ^{6}C_{4} . ^{8}C_{4}

### 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.

Now different words can be formed by jumbling the letters of this word in which not two S are adjacent, those can be found out as follows:

Here,

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 .

### Related Questions to study

### The value of ^{50}C_{4} + is -

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 .

### The value of ^{50}C_{4} + is -

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 .

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

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.

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

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.