Question

How many permutation can be made out of the letters of word TRIANGLE if T and E occupy the end places.

Answer 1

The given word is TRIANGLE.

There are 8 letters in it.

It is said that T and E occupy the end places. So the word can become:

T _ _ _ _ _ _ E or
E _ _ _ _ _ _ T

Thus there are 2 possibilities.


Now, we have to arrange the remaining 6 letters in the remaining 6 places.

So, number of arrangements =
6P6
= 6!
= 720


Thus, total number of permutations is
= 2×720
= 1440

Thus, there are 1440 possible words.

Answer 2

Step-by-step explanation:

The given word is TRIANGLE.

There are 8 letters in it.

It is said that T and E occupy the end places. So the word can become:

T _ _ _ _ _ _ E or

E _ _ _ _ _ _ T

Thus there are 2 possibilities.

Now, we have to arrange the remaining 6 letters in the remaining 6 places.

So, number of arrangements =

6P6

= 6!

= 720

Thus, total number of permutations is

= 2×720

= 1440

Thus, there are 1440 possible words.