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Combination of r Things from n Things When All Are Not Different

The number of...

Question

The number of ways to arrange the letters of the word Cheese are

A

120

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B

240

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C

720

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D

6

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Solution

The correct option is A
120

Total number of arrangements of the letters of the word CHEESE = Number of arrangements of 6 things taken all at a time, of which 3 are of one kind = $\frac{6!}{3!} = 120$

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