How many numbers between 100 and 1000 can be formed with the digits 5,6,7,8,9 , if the repetition of digits is not allowed?

Step-by-step solution

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. Numbers that can be formed =5 4 3=60