Question

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

Answer 1

Answer: 34650

Step-by-step 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 :

$\dfrac{n!}{n_1!n_2!....n_k!}$

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 :-

$\dfrac{11!}{4!4!2!}=34650$

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