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Question

Three letters are randomly selected from the 26 capital letters of the English alphabet. What is the probability that letters A will not be included in the choice?


A

112

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B

2326

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C

1213

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D

2526

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Solution

The correct option is B

2326


Explanation for the correct option:

Finding the probability that letters A will not be included in the choice:

There are a total of 26 ways to choose three letters from the alphabet is=26C3

There are 25 letters left if A is not chosen, hence the number of methods to choose three letters without include A is limited=25C3

The Resultant probability=25C326C3

=25!3!22!26!3!24![nCr=n!r!n-r!]=25×24×2326×25×24=2326

Hence, the correct option is B.


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