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In how many ways we can arrrange the words of letter "MISSISSIPPI"so that no two 's' come together?

In how many ways we can arrrange the words of letter "MISSISSIPPI"so that no two 's' come together?

Grade:11

2 Answers

Gautham Warrier
4 Points
13 years ago
For Questions where we need to separate a particular event, we arrange the other events and create vacanies for the 'S's ie, X_X_X_X_X_X_X_X The letters other than 'S' can occupy any of the blank spaces. So, 7P7/(4!*2!) The 4! and 2! come in denominator because I is repeated 4 times and P 2 times Now the 'S'es can be placed in any of the places marked 'X' So, 8P4/(4!) which is actually 8C4 because they are identical bodies :) So final answer is 7P7*8P4/(4!*4!*2!) = 7350 Cheers
rajat agarwal
23 Points
13 years ago

answer is different

 

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