MHT-CET Full Test-9 Mathematics Que-20 Solution

Question-20 How many different letter arrangements can be made from out of the letters of the word RECOVER?

A) 1210

B) 5040

C) 1260

D) 1200

Answer: C) 1260

Explanation

Given: RECOVER = 7 alphabet

We have to find out the number of ways the word ‘recover’

Number of ways to arrange E = 2!

Number of ways to arrange R = 2!

Number of of arrangement =\frac{7!}{2!\times2!}

=\frac{7\times6\times5\times4\times3\times2\times1}{2\times1\times2\times1}

=7 x 6 x 5 x 3 x 2

= 1260

Hence, the correct answer is 1260

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