Q. 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
Explanation

(d)
Total numbers formed by using given 5 digits$= \frac{5!}{2!}$
For number greater than 40000, digit 2 cannot come at first place. Hence, number formed in which 2 is at the first place $= \frac{4!}{2!}$
Hence, total numbers formed greater than 40000
$= \frac{5!}{2!} = \frac{4!}{2!} = 60 - 12 = 48$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.