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The chance th...

Question

The chance that the vowels are separated in an arrangement of the letters of the word "HORROR" is

A

1/2

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B

2/3

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C

3/4

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D

none of these

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Solution

The correct option is B 2/3
Probability that 2 O's are not together $= \frac{^{5} C_{2} \times 4! / 3!}{6! / 2! .3!} = 2 / 3$

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