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Question

The number of 4 digit even numbers that can be formed using 0,1,2,3,4,5,6 without repetition is :

A
120
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B
300
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C
420
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D
20
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Solution

The correct option is A 120
Number of possible outcomes for the ones digit=3 (0,2or 6)
Number of possible outcomes for the tens digit=5 (6-1 as repetition is not allowed)
Number of possible outcomes for the hundredths digit=4 (5-1 as repetition is not allowed)
Number of possible outcomes for the tens digit=2 (4-1-1 as repetition is not allowed and zero cant be in this place as in that case it will become 3 digit number)
So, number of possible 4 digit number=3×5×4×2=120

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