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Permutation: n Different Things Taken r at a Time

The maximum n...

Question

The maximum number of different permutations of 4 letters of the word "EARTHQUAKE" is

a.2910
b.2550
c.2190
d.2091

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Solution

Case 1 4 distinct lettersPermutation = 8c4 × 4! Case 2 2 same 2 distinct lettersPermutation = 2c1 × 7c2 × 4! Case 3 2 same & 2 same lettersPermutation = 4! / 2!×2! Total no of ways = case 1+ case 2+ case 3 Answer = 1680 + 510 + 6 = 2190

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Permutation: n Different Things Taken r at a Time

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