Solveeit Logo

Question

Mathematics Question on permutations and combinations

How many words beginning with T and ending with E can be made (with no letter repeated) out of the letters of the word 'TRIANGLE' ?

A

1440

B

8C6^8C_6

C

720

D

722

Answer

720

Explanation

Solution

In 'TRIANGLE' there are 8 letters. T- - - - - - E, remaining 6 letters which can be arranged by 6! ways = 6 . 5 . 4 . 3 . 2 . 1 = 720.