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How many numbers between 100 an 1000 can be formed with the digits 5, 6, 7, 8, 9, if the repetition of digits is not allowed ?A. `3^(5)`B. `5^(3)`C. 120D. 60

Answer» Correct Answer - D
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 is 3 ways
`:.` Numbers that can be formed `= 5 xx 4 xx 3 = 60`


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