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How many numbers greater than 40000 can ...

How many numbers greater than 40000 can be formed from the digits 2,4,5,5,7 ?

A

12

B

24

C

36

D

48

Text Solution

Verified by Experts

The correct Answer is:
D
Total number formed by using given digits `=(5!)/(2!)`
For number greater than 40000, digit 2 cannot come at first place. Hence, numbers formed in which 2 is at the first place `=(4!)/(2!)`
Hence, total numbers formed greater than 40000 `=(5!)/(2!)-(4!)/(2!)=60-12=48`
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