Can you list down every word?

Probability Level 4

A , A , A , A , A , B , B , B , B , C , C , C , D , D \large \boxed{A,A,A,A,A,B,B,B,B,C,C,C,D,D \ }

How many 5-letter words can be made, letters to be chosen out of the above 14 letters?

Try more combinatorics problems.


The answer is 901.

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Sandeep Bhardwaj by Sandeep Bhardwaj , 28, India

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1 solution

Yunhao King
Apr 4, 2015

4 5 − 3 − 15 − 15 − ( 5 3 ) × 3 × 3 = 901 4^5-3-15-15- {5 \choose 3} \times 3 \times 3=901

Consider all cases (there are 4 5 4^5 possibilities) and minus the impossible ones like DDDDD.

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