Latika Leekha
Last Activity: 10 Years ago
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 by 8C4 . 7! / 4!2!.
= 8C4 . 7 .6! / 4. 2!
= 7. 8C4 . 6C4
This is the required answer.
Thanks & Regards
Latika Leekha
askIITians Faculty