Question

How many dfferent strings can be made from the letters in MISSISSIPPI, using all letters? 15 013837

Answer 1

Answer: 34650

Explanation:

The number of permutations of n objects, where one object is repeated
`n_1` times , another is repeated
`n_2` times and so on is :

`(n!)/(n_1!n_2!....n_k!)`

Given : The number of letters in string MISSISSIPPI = 11

Here I is repeated 4 times, S is repeated 4 times and P is repeated 2 times.

Then , the number of different strings can be made from the letters in MISSISSIPPI, using all letters is given by :-

`(11!)/(4!4!2!)=34650`

Therefore , there are 34650 different strings can be made from the letters in MISSISSIPPI.