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Question

How many three digit can be formed using the digits 1,2,3,4,5, without repetition of digits? How many of these are even?

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Solution

Three places are to be filled with 5 different objects.
Number of ways=5P3=5×4×3=60

For the 2nd part, unit digit can be filled in two ways & the remaining two digits can be filled in 4P2 ways.
Number of even numbers=2×4P2=24.

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