Arithmetic Ability
 Probability

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Q.

The letters of the word CASTIGATION is arranged in different ways randomly. What is the chance that vowels occupy the even places ?

View Answer

Correct choice: B

Explanation:

Vowels are A I A I O, C A S T I G A T I O N (O) (E) (O) (E) (O) (E) (O) (E) (O) (E) (O) So there are 5 even places in which five vowels can be arranged and in rest of 6 places 6 constants can be arranged as follows : n(E)=5P5/2!*2!(A,I are 2 times)*6P62!(T is 2 times)=21600 n(S)=11!/2!*2!*2!(A, I are 2 times)=4989600 21600/4989600=0.043
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