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The letters of the word ASSASSINATION are arranged at random. What is the probability of a getting NO TWO As are coming...???

The letters of the word ASSASSINATION are arranged at random. What is the probability of a getting NO TWO As are coming...???


 

Grade:10

2 Answers

Jit Mitra
25 Points
9 years ago

ASSASSINATION can be arranged in 13!/(3!*4!*2!*2!) ways.

 

No two As coming together.

 

x  S  x  S  x  S  x  S  x  I  x  N  x  T  x  I  x  O  x  N x

 

A can be put in place of any x. (3 As can be put in 11 places in 11C3 ways).

 

No of favourable conditions = 10!/(4!*2!*2!) * 11C3

 

Probability = [10!/(4!*2!*2!) * 11C3]/[13!/(3!*4!*2!*2!)]

Marjaan Mahmood
14 Points
9 years ago

Your answer is great ..Thank u so much..I wont forget you valuable respobnse towards my question.!

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