Q. The figure 4, 5, 6, 7, 8 are written in every possible order. The number of numbers greater than 56000 is

A) 72
B) 96
C) 90
D) 98
Explanation

(c)
The number forms by the figure 4, 5, 6, 7, 8 which is greater than 56000 is in two cases.
Case I Let the ten thousand digit place number be greater than 5. The number of numbers
$= 3 \times 4 \times 3 \times 2 \times 1 = 72$
Case II Let the ten thousand digit number be 5 and thousand digit number be either 6 or greater than 6. Then, the number of numbers $= 3 \times 3 \times 2 \times 1 = 18$
$\therefore$ Required number of ways $= 72 + 18 = 90$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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