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Question

Mathematics Question on Permutations

The number of three digit numbers in which 99 appears only in one place is

A

243

B

234

C

217

D

225

Answer

225

Explanation

Solution

The number of three digit numbers in which 9 appears at hundred place only is =1×9×9=81=1 \times 9 \times 9=81 Similarly, the number of three digit numbers in which 9 appears at ten or unit place only is
=(8×1×9)×2=144=(8 \times 1 \times 9) \times 2=144
So, required number =81+144=225=81+144=225