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Question

Mathematics Question on permutations and combinations

Find the number of 44 letter words, with or without meaning, which can be formed out of the letters of the word , where the repetition of the letters is not allowed.

A

2222

B

2424

C

2626

D

2828

Answer

2424

Explanation

Solution

There are as many words as there are ways of filling in 4 vacant places by the 44 letters, keeping in mind that the repetition is not allowed. Thus, the number of ways in which the 44 places can be filled, by the multiplication principle, is 4×3×2×1=244 \times 3 \times 2 \times 1 = 24. Hence, the required number of words is 2424.