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

Options

A. 12
B. 24
C. 36
D. 48

Answer

D

Explanation

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`