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How many 3-digit numbers, each less than...

How many 3-digit numbers, each less than 600, can be formed from `{1, 2, 3, 4, 7, 9}` if repectition of digits is allowed ?

A

216

B

180

C

144

D

120

Text Solution

Verified by Experts

The correct Answer is:
C
Three digit number less then 600 will have first element 100, and last element 599. First place will not have digit more than 6, hence, 7 and 9 can not be taken : so, first digit can be selected in 4 ways. Second digit can be selected in 6 ways and since repetition of digits are allowed, third digit can also be selected in 6 ways: So, number of ways are `4 xx 6 xx 6 = 144`
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