Question

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

• A. $72$
• B. $90$
• C. $96$
• D. $98$

Answer 1

Answer: (B)

Reqd. no. of ways $=5!-4!-3!$
[$\because$ number will be less than $56000$ only if either $4$ occurs on the first place or $5$, $4$ occurs on the first two places]
$=120-24-6=90$