Question

License plates are made using 3 letters followed by 3 digits. How many plates can be made if repetition of letters and digits is allowed? A) 17, 576,000 B) 1, 757, 600 C) 1,000,000 D) 308, 915, 776 There are 10 members on a board of directors. If they must form a subcommittee of 6 members how many different subcommittees are possible? A) 151, 200 B) 210 C) 720 D) 1,000,000 How many ways can an IRS auditor select 3 of 13 tax returns for an audit? A) 2197 B) 1716 C) 6 D) 286 A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at random. Find the probability. All cherry A).3636 B) 1212 C) 7272 D) 1091

Answer 1

Explanation:

A) License plates are made using 3 letters followed by 3 digits

If repitition is allowed we have

number of plates =
`(26)^3 (10)^3 =17576000`

Option B

Out of 10 members 6 can be selected in

10C6 =210

Option B

3 tax returns from 13 can be selected in

13C3 =286

Option D

Prob of taking 3 cherry from 11 cherries is

6C3/11C3=20/165=0.1212

Option B