Choose the letter of the correct answer. 1. It states if one event can occur in A ways, and another event can occur in B ways, then these events can occur in AB ways, provided that these two events are independent events. a. permutation b. n- factorial c. Fundamental Counting Principle d. Circular permutation 2. It refers to an arrangement of objects in a definitive order. a. permutation b. Fundamental Counting Principle c. n- factorial d. combination 3. it is the arrangement of a set of objects where some of them are alike. a. circular permutation b. distinguishable permutation C. spiral permutation d. FCP 4. it is the product of the inteeers from 1 to n

College Algebra
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Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
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Choose the letter of the correct answer.
1. It states if one event can occur in A ways, and another event can occur in B ways, then these events can occur
in AB ways, provided that these two events are independent events.
c. Fundamental Counting Principle
d. Circular permutation
a. permutation
b. n- factorial
2. It refers to an arrangement of objects in a definitive order.
b. Fundamental Counting Principle
a. permutation
c.n- factorial
d. combination
3. it is the arrangement of a set of objects where some of them are alike.
a. circular permutation b. distinguishable permutation
4. it is the product of the integers from 1 to n.
c. spiral permutation
d. FCP
a. permutation
c. circular permutation
b. n-factorial
d. multiplication
5. Evaluate
6!
c. 720
6. In how many ways can Mikey dress up if she has 6 new shirts, 4 new pants and 3 pairs of shoes?
c. 36
а. 2
b. 56
d. 40320
а. 72
b. 60
d. 30
7. In how many ways can 8 girls be arranged themselves in a row for picture taking?
a. 120 ways
b. 720 ways
c. 5,040 ways
d. 40,320 ways
8. In how many ways can 9 students sit in 5 chairs?
a. 362,880
с. 15,120
b. 60,480
9. In how many ways can you arranged the letters from the word ADDITION?
b. 20160
d. 72
a. 40320
c. 10080
d. 5040
10. Ten boy scouts are seated around a bonfire. In how many ways can they be seated?
a. 10 ways
11. Seven dance troupe are about to perform in a benefit show. How many lineups are possible if there is only
b. 9 ways
c. 10! ways
d. 9! ways
enough time for three to perform.
a. 5040 ways
c. 210 ways
12. Ten runners join a race. In how many possible ways can they be declared as first, second and third places?
c. 30 ways
b. 1680 ways
d. 49 ways
a. 10! ways
d. 720 ways
b. 3! ways
13. Find the number of permutations of letters of the word TIKTOK.
b. 360 ways
a. 720 ways
c. 180 ways
d. 120 ways
14. Find the number distinguishable permutation of the digits of PIN number 969 596 0305.
c. 453,600
b. 604,800
15. What is the numerical value of P(8,4)?
а.10!
c. 75,600
a. 1,680
b. 840
с. 360
d. 32
Transcribed Image Text:Choose the letter of the correct answer. 1. It states if one event can occur in A ways, and another event can occur in B ways, then these events can occur in AB ways, provided that these two events are independent events. c. Fundamental Counting Principle d. Circular permutation a. permutation b. n- factorial 2. It refers to an arrangement of objects in a definitive order. b. Fundamental Counting Principle a. permutation c.n- factorial d. combination 3. it is the arrangement of a set of objects where some of them are alike. a. circular permutation b. distinguishable permutation 4. it is the product of the integers from 1 to n. c. spiral permutation d. FCP a. permutation c. circular permutation b. n-factorial d. multiplication 5. Evaluate 6! c. 720 6. In how many ways can Mikey dress up if she has 6 new shirts, 4 new pants and 3 pairs of shoes? c. 36 а. 2 b. 56 d. 40320 а. 72 b. 60 d. 30 7. In how many ways can 8 girls be arranged themselves in a row for picture taking? a. 120 ways b. 720 ways c. 5,040 ways d. 40,320 ways 8. In how many ways can 9 students sit in 5 chairs? a. 362,880 с. 15,120 b. 60,480 9. In how many ways can you arranged the letters from the word ADDITION? b. 20160 d. 72 a. 40320 c. 10080 d. 5040 10. Ten boy scouts are seated around a bonfire. In how many ways can they be seated? a. 10 ways 11. Seven dance troupe are about to perform in a benefit show. How many lineups are possible if there is only b. 9 ways c. 10! ways d. 9! ways enough time for three to perform. a. 5040 ways c. 210 ways 12. Ten runners join a race. In how many possible ways can they be declared as first, second and third places? c. 30 ways b. 1680 ways d. 49 ways a. 10! ways d. 720 ways b. 3! ways 13. Find the number of permutations of letters of the word TIKTOK. b. 360 ways a. 720 ways c. 180 ways d. 120 ways 14. Find the number distinguishable permutation of the digits of PIN number 969 596 0305. c. 453,600 b. 604,800 15. What is the numerical value of P(8,4)? а.10! c. 75,600 a. 1,680 b. 840 с. 360 d. 32
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