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How many even numbers of three-digits can be formed with the digits 1, 2, 3, 4, and 6, no digit being used more than once?
33
36
42
48
Each even number must have 2, 4, or 6 in its units, place. total number of digits = 5 Units place can be filled up by anyone of the three digits 2, 4, and 6 in 3 ways. Hundreds place can be filled up by any one of the remaining four digits in 4 ways. Remaining one place can be filled up by the remaining three digits in 3P1 ways. numbers formed = 4 × 3 × 3P1 = 12 × 3! /2! = 36
By: bhavesh kumar singh ProfileResourcesReport error
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