Math Skills Milestones A. Find the value. 1. P 2. 1P. 3. P. 4. PP 10 P. P, P. 5. „P P B. Determine whether each arrangement is a linear or circular permutation. Then, find the number of arrangements. 1. 6 gemstones in a necklace 2. The placement of 10 benches around the school quadrangle relative to the school gate 3. 10 horses around the edge of a carousel C. Choose the letter that corresponds to the correct answer. 1. If a group of 8 friends are to sit in the same row in a movie house, how many possible ways can they arrange themselves? a. 362 880 c. 5 040 b. 40 320 d. 2 020 2. How many basketball lineups of 5 players can be formed from a team with 15 members if all players can take any position? 15! a. 10! с. 5! 15! b. 5! d. 15!

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Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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268 - 270 B, C (answers only) B. 1-3 C. 1-9
c. 256
a. 40 320
b. 56
d. 512
How many 3 letter words, with or without meaning, can be formed using the letters
of the word JOURNALIST if repetition is not allowed?
a. 604 800
с. 1 000
b. 720
d. 360
5 Elsa is interlacing colored beads on a string. How many designs can she create if she
has 6 red beads, 2 pink beads, and 3 violet beads, and she has to use all 11 beads?
a. 8 640
C. 4 620
permutation. The
b. 39 916 800
d. 132
6. In how many ways can 5 plates be arranged around the circumference of a circular
table?
ngle relatove o tra
a. 120
c. 5
b. 24
d. 20
7. In how many ways can 7 keys be arranged in a plain key ring?
a. 5 040
с. 360
b. 720
d. 240
ovie house ho
8. A combination lock actually involves permutation since the order of the digits
is important. How many different 4-number combinations are possible if a
combination lock has 10 different numbers in its dial?
10!
a.
с. 104
4!
10!
b.
d. 6!
6!
ad from a tem
* Six performers are to present their musical numbers in an auditorium. One of the
performers requested to be the last act. In how many ways can the performances be
arranged if the request was granted?
a. 120
с. 6
b. 720
d. 30
269
Combinatorics and Probability
Transcribed Image Text:c. 256 a. 40 320 b. 56 d. 512 How many 3 letter words, with or without meaning, can be formed using the letters of the word JOURNALIST if repetition is not allowed? a. 604 800 с. 1 000 b. 720 d. 360 5 Elsa is interlacing colored beads on a string. How many designs can she create if she has 6 red beads, 2 pink beads, and 3 violet beads, and she has to use all 11 beads? a. 8 640 C. 4 620 permutation. The b. 39 916 800 d. 132 6. In how many ways can 5 plates be arranged around the circumference of a circular table? ngle relatove o tra a. 120 c. 5 b. 24 d. 20 7. In how many ways can 7 keys be arranged in a plain key ring? a. 5 040 с. 360 b. 720 d. 240 ovie house ho 8. A combination lock actually involves permutation since the order of the digits is important. How many different 4-number combinations are possible if a combination lock has 10 different numbers in its dial? 10! a. с. 104 4! 10! b. d. 6! 6! ad from a tem * Six performers are to present their musical numbers in an auditorium. One of the performers requested to be the last act. In how many ways can the performances be arranged if the request was granted? a. 120 с. 6 b. 720 d. 30 269 Combinatorics and Probability
1 Math Skills Milestones
A. Find the value.
1. P
2. 1P
3. P
P,
4. P.P
10 P.
PP.
5.
,PP,
B. Determine whether each arrangement is a linear or circular permutation. Then, find the
number of arrangements.
1. 6 gemstones in a necklace
2. The placement of 10 benches around the school quadrangle relative to the school
gate
3. 10 horses around the edge of a carousel
C. Choose the letter that corresponds
the correct answer.
1. If a group of 8 friends are to sit in the same row in a movie house, how many
possible ways can they arrange themselves?
a. 362 880
c. 5 040
b. 40 320
d. 2 020
2. How many basketball lineups of 5 players can be formed from a team with 15
members if all players can take any position?
15!
a.
10!
c. 5!
15!
b.
5!
d. 15!
268
Practical Math 10
Transcribed Image Text:1 Math Skills Milestones A. Find the value. 1. P 2. 1P 3. P P, 4. P.P 10 P. PP. 5. ,PP, B. Determine whether each arrangement is a linear or circular permutation. Then, find the number of arrangements. 1. 6 gemstones in a necklace 2. The placement of 10 benches around the school quadrangle relative to the school gate 3. 10 horses around the edge of a carousel C. Choose the letter that corresponds the correct answer. 1. If a group of 8 friends are to sit in the same row in a movie house, how many possible ways can they arrange themselves? a. 362 880 c. 5 040 b. 40 320 d. 2 020 2. How many basketball lineups of 5 players can be formed from a team with 15 members if all players can take any position? 15! a. 10! c. 5! 15! b. 5! d. 15! 268 Practical Math 10
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