Quantitative Aptitude Ques 1238

Question: Find the number of ways of arranging the letters of the word ARRANGE, so that the two R’s are never together.

Options:

A) 1260

B) 360

C) 900

D) 600

Show Answer

Answer:

Correct Answer: C

Solution:

  • The given word consists of 7 letters having 2 A’s and 2 R’s the rest of all different.

$ \therefore $ The total number of words $ =\frac{7!}{202!}=1260 $ The number of words R come together $ =\frac{6!}{2!}=360 $

$ \therefore $ The number of words with two R never together $ =1260-360=900 $

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