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Question -

Find the number of 4-digit numbers that can be formed using the digits 1, 2, 3, 4, 5 if no digit is repeated. How many of these will be even?



Answer -

Total number of digits possible for choosing = 5
Number of places for which a digit has to be taken = 4
As there is no repetition allowed,
⇒ Number of permutations =
 
The number will be even when 2 and 4 are at one’s place.
The possibility of (2, 4) at one’s place = 2/5 = 0.4
Total number of even number = 120 × 0.4 = 48.

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