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### Permutation and Combination - Quant/Math - CAT 2016

Question 4 the day: March 05, 2003

The question for the day is from the topic Permutation and Combination.

Question:
How many words can be formed by re-arranging the letters of the word ASCENT such that A and T occupy the first and last position respectively?

(1) 5!
(2) 4!
(3) 6! - 2!
(4) 6! / 2!

Solution:

As A and T should occupy the first and last position, the first and last position can be filled in only one way. The remaining 4 positions can be filled in 4! Ways by the remaining words (S,C,E,N,T). hence by rearranging the letters of the word ASCENT we can form 1x4! = 4! words.

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