Q19 of 30 Page 7

How many words, with or without meaning, can be formed using all the letters of the word ‘EQUATION’, using each letter exactly once.


There are eight letters in the word ‘EQUATION’. So, the total number of words is equal to the number of arrangements of these letters, taken all at a time. The number of such arrangements is 8P8 = 8!. Hence the total number of words = 8!

= 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320 words.

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