Given, the total number of letters in ‘TRIANGLE’ = 8

To find: number of words, with or without meanings using all the letters of the word like triangel or angletri etc.

Formula used:

Number of arrangements of n things taken all at a time = P(n, n)

∴ The total number of ways in which this can be done

= the number of arrangements of 8 things taken all at a time

= P(8, 8)

{∵ 0! = 1}

= 8!

Hence, number of words, with or without meanings using all the letters of the word ‘TRIANGLE’ are 8!