Question

10. Three-digit numbers are to be made from the 10 digits 0, 1, 2, …, 9....

10. Three-digit numbers are to be made from the 10 digits 0, 1, 2, …, 9. (Assume that the first digit cannot be 0.)

a. How many numbers can be made if repetitions are not allowed and the number must be divisible by 10?

b. How many numbers can be made if repetitions are allowed and the number must be even?

c. How many numbers can be made if repetitions are not allowed and the number must be odd and less than 600?

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