How many words, with or without meaning, can be formed by using the letters of the word ‘TRIANGLE’?
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!
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