| Find the number of ways of arranging the letters of the word ARRANGE, so that the two R's are never together. |
A) 1260
B) 360
C) 900
D) 600
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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