1. a) aPa b) sPs c) 10P2

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Exercises:
1. Evaluate the following:
1. a) sP4
2. a) C2
b) sPs
b) 11C11
c) 10P2
c) sCo
c) _8
3. a) 51!
49!
b) 215!
7!
6! + 7!
4. a) sPo
6!
c) _4
312!
316!
b) sPo
7!
6!
II. Solve the following problems:
1. A restaurant offers a meal consisting of one of the three entrees and one of four desserts at
a special price. How many different meals can be ordered at this price?
2. Let S = {a,b,c,d). List all permutations of size 2 chosen from the four elements of S and count
these permutations to find «P2.
3. In how many ways can 12 different books be arranged on a shelf?
4. A portfolio manager knows of 13 stocks that meet her investment criteria. She will choose
three and rank them first, second, and third in order of preference. In how many ways can she
do this?
5. Find the number of different committees of 4 students each that can be formed from a group
of 36 students.
6. In a class of 15 boys and 10 girls, in how many ways may a committee made up of 3 boys and
2 girls be selected?
7. How many combinations of three-digit numbers are possible with digits 2,4,6?
8. How many ways can the letter of the word "abracadabra" be arranged?
9. How many ways can 3 red bulbs, 4 yellow bulbs, and 5 green bulbs be arranged in an electric
wire with 12 sockets?
10. How many ways can seven people line up at a ticket window?
11. How many different committees of three persons each can be chosen from a group of
twelve people?
12. By using seven points, no three of which are collinear, how many different lines are
determined?
13. From the letters of each of the following words, how many different permutations can be
formed if the letters are taken all at a time:
a) COLLEGE b) MISSISSIPI
14. How many permutations are possible with the letters TENNESSEE?
15. If a student is to answer any 6 questions on a test containing 9 questions. In how many
ways can the students choose the questions?
Transcribed Image Text:Exercises: 1. Evaluate the following: 1. a) sP4 2. a) C2 b) sPs b) 11C11 c) 10P2 c) sCo c) _8 3. a) 51! 49! b) 215! 7! 6! + 7! 4. a) sPo 6! c) _4 312! 316! b) sPo 7! 6! II. Solve the following problems: 1. A restaurant offers a meal consisting of one of the three entrees and one of four desserts at a special price. How many different meals can be ordered at this price? 2. Let S = {a,b,c,d). List all permutations of size 2 chosen from the four elements of S and count these permutations to find «P2. 3. In how many ways can 12 different books be arranged on a shelf? 4. A portfolio manager knows of 13 stocks that meet her investment criteria. She will choose three and rank them first, second, and third in order of preference. In how many ways can she do this? 5. Find the number of different committees of 4 students each that can be formed from a group of 36 students. 6. In a class of 15 boys and 10 girls, in how many ways may a committee made up of 3 boys and 2 girls be selected? 7. How many combinations of three-digit numbers are possible with digits 2,4,6? 8. How many ways can the letter of the word "abracadabra" be arranged? 9. How many ways can 3 red bulbs, 4 yellow bulbs, and 5 green bulbs be arranged in an electric wire with 12 sockets? 10. How many ways can seven people line up at a ticket window? 11. How many different committees of three persons each can be chosen from a group of twelve people? 12. By using seven points, no three of which are collinear, how many different lines are determined? 13. From the letters of each of the following words, how many different permutations can be formed if the letters are taken all at a time: a) COLLEGE b) MISSISSIPI 14. How many permutations are possible with the letters TENNESSEE? 15. If a student is to answer any 6 questions on a test containing 9 questions. In how many ways can the students choose the questions?
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