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Permutation: n Different Things Taken r at a Time

Find the numb...

Question

Find the number of four letter words, with meaning or without meaning, that can be formed by using the letters of the word $^{'} C H E M I S T R Y^{'}$

A

1024

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B

3251

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C

3024

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D

24

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Solution

The correct option is D $3024$
Number of letters in the given word $= 9$
Number of different four-letter words that can be formed $=^{9} P_{4}$

$= 3024$

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