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1. 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?
A _ _ _ _ T.
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,
1 x 4! = 4! Words.
Solution:
As A and T should occupy the first and last position, the first and last position can be filled in only one following way.A _ _ _ _ T.
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,
1 x 4! = 4! Words.