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Question

# How many 2 digit even numbers can be formed from the digits 1,4,5,6,9 if the digits can be repeated?

A
20
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B
25
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C
10
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D
8
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Solution

## The correct option is C 101,4,5,6,9 There will be as many ways as there are ways of filling 2 vacant places in succession by the five given digits. Here, in this case, we start filling in unit’s place, because the options for this place are 4 and 6 only and this can be done in 2 ways; following which the ten’s place can be filled by any of the 5 digits in 5 different ways as the digits can be repeated. Therefore, the required number of two digits even numbers is 2×5=10.

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