Q:

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

Accepted Solution

A:
Answer:Step-by-step explanation:A) License plates are made using 3 letters followed by 3 digitsIf repitition is allowed we havenumber of plates = [tex](26)^3 (10)^3 =17576000[/tex]Option BOut of 10 members 6 can be selected in 10C6 =210Option B3 tax returns from 13 can be selected in 13C3 =286Option DProb of taking 3 cherry from 11 cherries is6C3/11C3=20/165=0.1212Option B