Test your knowledge of Counting Techniques! Select the best answer for each of the following.
2. A teenager has 8 t-shirts, 2 belts, and 5 pairs of jeans. How many different outfits can he wear, assuming that he always wears a belt? a) 40 b) 80 c) 16 d) 21
3. The letters, "A, B, C, D, E, F, and G" are used to form a five letter secret code. Repetitions are not allowed. How many different codes are possible? a) 2,520 b) 16,807 c) 120 d) 5,040
4. A florist plans to select five different flowers to put in a mixed arrangement. From a selection of twelve different types in her cooler, how many ways can she select these flowers? 95,040 3,991,680 792 5,040
5. Using the numbers 0, 2, 4, 6, and 8, a salesman wants to construct a three-digit number to categorize his inventory. How many different numbers can be constructed? 15 125 60 27
6. A nurse has 6 patients to visit. How many different ways can she make her rounds if she visits each patient only once? 360 21 720 60
7. A photographer wants to arrange 7 people for a group picture. How many different ways can this be done? 49 28 16,807 5,040
8. The lockers in the gymnasium have 4-digit combination locks. The first digit must be odd, the second digit must be even, and the last 2 digits can be any number from 0 through 9. How many different lock combinations exist? 2,500 2,000 10,000 5,000
9. A box contains a $1 bill, a $5 bill, a $10 bill, and a $20 bill. A bill is drawn at random and then replaced. A second bill is then drawn. How many outcomes are possible? 12 8 10 16
10. An urn contains balls that are numbered, 6, 7, 8, and 9. If an even number is drawn, then a coin is tossed. If an odd number is drawn, a die is rolled. How many outcomes are possible? 8 16 10 24
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