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Find the number of words that can be formed by using all the l

Question

Find the number of words that can be formed by using all the letters of the word $^{'} D I FFERENT I A T I O N^{'}$

15!

4! .3! .2!^{4}

\frac{15 !}{3 ! \times 2 ! ^{4}}

none of these

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Find the number of words that can be formed by using all the letters of the word

^{'} D I FFERENT I A T I O N^{'}

14 mins ago

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Text solutionVerified

Given word

D I FFERENT I A T I ON = 15

letters.

We have repeated letters

- I

(

3

times )

, F (2), E (2), N (2), T (2)

Total permutations

= \frac{15 !}{3 ! 2 ! 2 ! 2 ! 21}

= \frac{15 !}{3 ! ( 2 ! ) ^{4}}

Hence, the answer is

\frac{15 !}{3 ! ( 2 ! ) ^{4}} .

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Question Text	Find the number of words that can be formed by using all the letters of the word $^{'} D I FFERENT I A T I O N^{'}$
Answer Type	Text solution:1
Upvotes	150