Let S= 2, 3, 4, 5, 6, 7, 9 . How many different 3-digit numbers (with all digits different) from S can be made which are less than 500?

NDA 2021 Mathematics question

Let . How many different 3-digit numbers (with all digits different) from can be made which are less than 500?

(A)30
(B)49
(C)90Correct
(D)147

Answer: (C)

Solution

For the number to be less than 500, the hundreds digit must be 2, 3 or 4: 3 choices. The tens digit can be any of the remaining 6 digits of , and the units

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Question ID VK-033615