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Q.

Number of 2 digit even numbers that can be formed from the digits 1, 2, 3, 4 and 5 when repetitions are not allowed is

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answer is 8.

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Detailed Solution

Two digit even numbers are formed using 1, 2, 3, 4, 5.

Consider 2 places. Units place can be filled using 2, 4 in 2 ways.

 

2 or 4

First place can be filled using remaining 4 digits in 4 ways.

No of permutations=4×2=8

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Number of 2 digit even numbers that can be formed from the digits 1, 2, 3, 4 and 5 when repetitions are not allowed is