1. How many words of four or more letters can be made with the following, with the condition that “A” appears in each word?
A, H, N, E, T, E, H
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By: anil on 05 May 2019 02.39 am
Let us consider a 4 letter word starting from A
In the 2nd position any of H, N, E, T, E, H. Thus, 6 choices.
In the 3rd position any of the remaining 5 may come and in the 4th position any of the remaining 4 may come.
Thus, the number of words = 6*5*4 = 120
We are double counting E and thus actual cases = 120/2 = 60
Thus, Option C is the correct answer.
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In the 2nd position any of H, N, E, T, E, H. Thus, 6 choices.
In the 3rd position any of the remaining 5 may come and in the 4th position any of the remaining 4 may come.
Thus, the number of words = 6*5*4 = 120
We are double counting E and thus actual cases = 120/2 = 60
Thus, Option C is the correct answer.