Question

How many 3-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated?

Answer 1

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Answer 2

'108' 3-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6.

Step-by-step explanation:

As given in the question that how many 3-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6.

As we know that,

For even numbers, even numbers must be in units place.

So, only 3 number are possible at units place. (i.e, 2, 4, 6)

And at tens and hundreds place all 6 numbers are possible because as per the question given numbers can be repeated.

Number of 3-digit even numbers = 3 x 6 x 6

                                                       = 108

Hence '108' 3-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6.