How many different words can be formed by jumbling the letters in the

1.	How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent?
Answer» We have the word MISSISSIPPI In this word there are 4 I’s, 4 S’s, 2 P’s and 1 M. No two S should be together, hence we can place S at these places _ M _ I _ I _ I _ I _ P _ P _ . Therefore, the possible number of words is given by8C4. 7! / 4!2!. =8C4. 7 .6! / 4. 2! = 7.8C4 .6C4

How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent?

Answer»

We have the word MISSISSIPPI

In this word there are 4 I’s, 4 S’s, 2 P’s and 1 M.

No two S should be together, hence we can place S at these places

_ M _ I _ I _ I _ I _ P _ P _ .

Therefore, the possible number of words is given by8C4. 7! / 4!2!.

=8C4. 7 .6! / 4. 2!

= 7.8C4 .6C4