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How many different words can be formed by using all the letters of the word ‘ALLAHABAD’? |
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Answer» Given: We have 9 letters To Find: Number of words formed with Letter of the word ‘ALLAHABAD.’ The formula used: The number of permutations of n objects, where p1 objects are of one kind, p2 are of the second kind, ..., pk is of a kth kind and the rest if any, are of a different kind is = \(\frac{n!}{p_1!p_2! .....p_k!}\) ‘ALLAHABAD’ consist of 9 letters out of which we have 4 A’s and 2 L’s. Using the above formula Where, n = 9 p1 = 4 p2 = 2 \(\frac{9!}{4!2!}\) = 7560 7560 different words can be formed by using all the letters of the word ‘ALLAHABAD.’ |
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