Question 17
How many words of 4 letters beginning with 'A' or 'E' can be formed with the letters of the word 'EQUATION' ?
Solution
EQUATION has 8 letters.
To form a 4 letter word, we need a starting letter which can be either E or A i.e. it can be selected in 2 ways.
The rest of the 3 letters can be selected arranged out of the remaining 7 letters in 7P3 ways.
So, total words of 4 letters starting either with E or A are 2*7P3 = 2*210 = 420.
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