Question

The numbers, each lying between 100 and 1000, can be formed with digits 2, 3, 4, 0, 8, 9. (if repetition of digits not allowed) are------

Answer 1

The number between $100$ and $1000$ are $101$ to $999$

Triple-digit number to be formed from the numbers $0,2,3,4,8,9$

_ _ _

At first place, possible digits are $2,3,4,8,9$ is $5$

$0$ can't appear at first place

A second $0$ and the remaining $4$ of above $5$ are possible so total is $5$

At third place remaining $4$ are possible

so total number can be formed $=5\times 5\times 4=100$