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' ?

Question

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 (C) 720 (D) 722

Tardigrade Admin · Accepted Answer

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.

Q. 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' ?

1440

$^{8} C_{6}$

720

722

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.

Q. 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' ?

1440

8C6​

720

722

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.

$^{8} C_{6}$