Probability Question 38
Question: The letter of the word `ASSASSIN’ are written down at random in a row. The probability that no two S occur together is
[BIT Ranchi 1990; IIT 1983]
Options:
A) $ \frac{1}{35} $
B) $ \frac{1}{14} $
C) $ \frac{1}{15} $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
Total ways of arrangements $ =\frac{8!}{2!.4!} $
$ \bullet w\bullet x\bullet y\bullet z\bullet $
Now S can have places at dot’s and in places of $ w,x,y,z $ we have to put $ 2A’s, $ one $ I $ and one $ N. $
Therefore favourable ways $ =5( \frac{4!}{2!} ) $
Hence required probability $ =\frac{5.4!2!4!}{2!8!}=\frac{1}{14}. $
BETA
