1.

How many words can be formed with the letters of the word ‘CASTLE’ when ‘O’ and ‘A’ occupying end places.(a) 217(b) 48(c) 75(d) 186The question was asked in an online interview.The doubt is from Counting in division Counting of Discrete Mathematics

Answer»

The correct choice is (b) 48

Best EXPLANATION: When ‘O’ and ‘A’ are occupying end-places => A.S.T.L. (CE). We can see that (CE) are fixed, HENCE A, S, T, L can be arranged in4! WAYS and (C, E) can be arranged themselves is 2! ways. So, the number of words formed =4! x2! = 48 ways.



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