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 $