A) 360
B) 900
C) 1260
D) 1620
Correct Answer: B
Solution :
The word ARRANGE, has AA, RR, NGE letters, that is two A' s, two R's and N, G, E one each. \[\therefore \] The total number of arrangements =\[\frac{7\,!}{2\,!\,2\,!\,1\,!\,1\,!\,1\,!}=1260\] But, the number of arrangements in which both RR are together as one unit = \[\frac{6\,!}{2\,!\,1\,!\,1\,!\,1\,!\,1\,!}=360\] \[\therefore \] The number of arrangements in which both RR do not come together = 1260 - 360 = 900.
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