How many numbers between 100 and 1000 can be formed with the digits...

Number between 100 and 1000 are 3-digit numbers. It is given that the digits should not be repeated. Number of given digits $=5$. In a 3-digit number, first number can be arranged in 5 ways. Second number in 4 ways. Third number in 3 ways. $\therefore$ Numbers that can be formed $=5 \times 4 \times 3=60$