Question

Words with or without meaning are to be formed using all the letters of the word EXAMINATION. The probability that the letter M appears at the fourth position in any such word is ______.

Options

• `1/9`

• `1/66`

• `2/11`

• `1/11`

Answer 1

Words with or without meaning are to be formed using all the letters of the word EXAMINATION. The probability that the letter M appears at the fourth position in any such word is `underlinebb(1/11)`.

Explanation:

In the given word (Examination)

E→1, X→1, A→2, M→1, O→1, T→1, N→2, I→2

Total number of outcomes, n(S) = `(11!)/(2!2!2!)` {where S is sample space}

Number of Favourable outcomes, n(E) = `(10!)/(2!2!2!)`

Probability, P(F) = `(n(E))/(n(S)) = ((10!)/(2!2!2!))/((11!)/(2!2!2!)) = 1/11`