Question

In the random arrangement of the letters of the word "ASSASSINATION", what is the
chance that it contains the word “SANTA"?
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Answer 1

Given:

The given word is   ASSASSINATION

To find:

We have to find the chance of the word SANTA

Solution:

Number of Letters in the give word = 13

Number of A's = 3

Number of I's = 2

Number of N's = 2

Number of O's = 1

Number of S's = 4

Number of T's = 1

Now total number of words formed = $\frac{13!}{3!2!2!4!}$ = 10810800

SANTA can be formed in ⁴C₁× ³C₁× ²C₁× ³C₁ = 72

Chance of the word SANTA = $\frac{72}{10810800}$