1.Using the digits 0, 1, 2,..., 8, 9, determine how many of each type of four-digit number can be constructed based on each:

a. Zero cannot be used for the first digit; digits may be repeated

b. the number must begin with an even and end with an odd digit; digits may not be repeated.

c. The number must be odd and greater than 5,000; digits may be repeated.

d. The number must be between 5,001 and 8,000; digits may be repeated.

2.In a small state, the license plate for a car begins with two letters, which may be repeated, and ends with three digits, which also may be repeated.How many license plates are possible in that state

3.A bin contains 64 light bulbs, of which 10 are defective. If 5 light bulbs are randomly selected from the bin with replacement, find the probability that all the bulbs selected are good ones.