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Conditional Probability

Find the numb...

Question

Find the number of $3$ digit even numbers that can be formed with the digits $1, 2, 4, 7, 9$ when repetition of digits is allowed

A

50

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B

125

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C

32

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D

64

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Solution

The correct option is B $50$
_ _ _
The three digit number has to be 2 and 4 .
_ _ _2
The remaining digits are to be filled by $5 \times 5 = 25$
_ _ _4
The remaining digits are to be filled by $5 \times 5 = 25$
Total $= 25 + 25 = 50$

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