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Permutation

How many thre...

Question

How many three digit numbers more than 700 that can be formed using the digits 2,3,4,6,7(repetition allowed).

A

25

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B

12

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C

18

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D

20

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Solution

The correct option is A 25
Since a 3 digit number greater than 700 will have 7 at hundred's place. So hundred's place can be filled in only one way. Each of tens and one's place can be filled in 5 ways.

$= 1 \times 5 \times 5 = 25$

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