How many permutations can be made out of letters of the word ‘TRIANGLE’? How many of these will begin with T and with E?
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Answer:
There are 8 letters in the word triangle.
(1) Total number of ways of permutations are to put these 8 letters in 8 places=
8
P
8
=
0!
8!
=8! =40,320
(2) Word beginning with t and ending with e implies that 2 positions out of 8 are fixed. So we need to arrange 6 letters in 6 positions.
Number of permutations =
6
P
6
=
0!
6!
=6! =720.
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