how many 3 letter words can be made using the letters of the word ineffective(permutations and combinations)
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Given word is : INEFFECTIVE
Total number of letters = 11 in which
I - 2, E - 3, F - 2, N - 1, C - 1, T - 1, V - 1
We have to form words which have 3 letters. Now there are following case:
(i) 2 are same and 1 different letter:
Total number of words = C(3,2) * C(6,1)
= 3 * 6
= 18
(ii) All letters are different:
Total number of words = C(7,3)
= 35
(iii) Three are similar:
Total number of words = 1
Now
=> Total number of 3 letters words = 1 + 35 + 18
= 54
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