The number of words that can be written using all the letters of the word 'IRRATIONAL' is

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Solution

Q.
The number of words that can be written using all the letters of the word 'IRRATIONAL' is

1 $\frac{10!}{{(2!)}^{3}}$

2 $\frac{10!}{{(2!)}^{2}}$

3 $\frac{10!}{2!}$

4 $10!$

Ans.
(1)

There are 10 letters in the word IRRATIONAL in which there are 2'I', 2'R' and 2'A'

$∴$ No. of words $= \frac{10!}{2! 2! 2!} = \frac{10!}{{(2!)}^{3}}$

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