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Q.

The total number of three-letter words that can be formed from the letter of the word SAHARANPUR is equal to

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a

210

b

237

c

247

d

227

answer is C.

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Detailed Solution

1S, 3A, 1H, 2R, 1N, 1P, 1U When all letters are different, corresponding ways is  7C3×3!=7P3=210. When two letters are of one kind and other is different, corresponding number of ways is  2C1×6C1×(3!/2!). When all letters are alike, corresponding number of ways is 1. Thus, total number of words that can be formed is 210 + 36 + 1 = 247.
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