Factorials Worksheet
A Grade 12 math worksheet on factorials, covering calculations, permutations, and combinations.
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Factorials Worksheet
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Read each question carefully and provide your answer in the space provided. Show all your work for full credit.
1. Calculate the value of 7! (7 factorial).
2. Calculate the value of 0!.
3. Simplify the expression: 10! / (8! * 2!).
4. The number of ways to arrange 5 distinct books on a shelf is .
5. In a race with 8 runners, the number of ways to award gold, silver, and bronze medals is .
6. A committee of 3 people is to be chosen from a group of 7. How many different committees can be formed?
21
35
105
210
7. From a deck of 52 cards, how many different 5-card hands can be dealt?
2,598,960
311,875,200
6,760,000
7,893,600
8. A photographer is arranging 6 people in a row for a picture. How many different arrangements are possible?
9. A club has 15 members. They need to select a president, vice-president, and secretary. How many different ways can these positions be filled?
10. In how many ways can the letters of the word 'MISSISSIPPI' be arranged?
11. The number of permutations of n items taken r at a time is denoted by P(n, r) = n! / (n-r)!.
True
False
12. The number of combinations of n items taken r at a time is always greater than or equal to the number of permutations of n items taken r at a time.
True
False