Permutations And Combinations Question 268

Question: The numbers of arrangements of the letters of the word SALOON, if the two O’s do not come together, is

Options:

A) 360

B) 720

C) 240

D) 120

Show Answer

Answer:

Correct Answer: C

Solution:

Total number of arrangements are $ \frac{6!}{2!}=360 $ . The number of ways in which $ …+{{}^{2n+1}}C_{n}+{{}^{2n+1}}C_{n+1}) $ come together $ =5!=120 $ . Hence required number of ways = $ 360-120=240 $ .



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