START! 1. There are 6 seats in the front row of an auditorium. In 3. Abby, Benjie, Cathy, Dave, Ernest, Fred,Gail, and Harry have won 3 tickets to the 336 2. How many ways can the letters in the word 45 how many ways can 6 students arrange themselves to sit in the front row? opera. They will randomly choose 3 people from their group to attend the opera. How many outcomes are PARALLEL be arranged? 720 120 3 360 35 56

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Direction: Use your knowledge of permutations and combinations to solve each problem in the box. Use the answers to navigate through the maze. Color the correct path from the start to end.
START!
3. Abby, Benjie, Cathy, Dave,
Ernest, Fred,Gail, and Harry
have won 3 tickets to the
1. There are 6 seats in the
2. How many ways can the
letters in the word
front row of an auditorium. In
336
45
how many ways can 6
students arrange themselves
to sit in the front row?
opera. They will randomly
choose 3 people from their
group to attend the opera.
How many outcomes are
PARALLEL be arranged?
720
120
3 360
35
56
4. The password for Gena's
email account consists of 4
characters chosen from the
5. A pizzeria is offering a
special four-topping pizza.
There are 7 different
6. There 20 kittens in a pet
shop. If three kittens will be
given away for adoption,
how many are possible?
24
45
letters g, e, n, a. How many
arrangements are possible, if
the password has no repeated
characters?
toppings available. How
many different four-topping
pizza are possible?
74
120
840
10
1140
8. Suppose that 9 points are
distributed on a plane, such that
no three points are on the same
line. Form a quadrilateral by
selecting the vertices from these
points. How many quadrilaterals
are possible?
7. In how many ways can a
coach choose three
9. How many arrangements
of the letters of the word
3 024
swimmers from among five
swimmers?
STATISTICS are possible?
10
240
126
50 400
40 320
12. A club of nine people
11. A couple wants to plant
some shrubs around a
10. In how many ways can
a boy pick 8 marbles from a
box of 10 different colored
wants to elect three
circular walkway. They have
seven different shrubs. How
many different ways can the
shrubs be planted?
officers: President, Vice
President and Secretary.
How many ways can they
elect the officers?
120
45
marbles?
144
720
10
504
900
13. How many ways can
you select 2 of 8 different
brands of shirt at a
14. A company wants to hire a
Computer Programmer, a
Software Tester and a
END!
28
720
Systems Engineer. There are
10 applicants for the job. How
many ways can the company
hire the applicants?
department store?
Transcribed Image Text:START! 3. Abby, Benjie, Cathy, Dave, Ernest, Fred,Gail, and Harry have won 3 tickets to the 1. There are 6 seats in the 2. How many ways can the letters in the word front row of an auditorium. In 336 45 how many ways can 6 students arrange themselves to sit in the front row? opera. They will randomly choose 3 people from their group to attend the opera. How many outcomes are PARALLEL be arranged? 720 120 3 360 35 56 4. The password for Gena's email account consists of 4 characters chosen from the 5. A pizzeria is offering a special four-topping pizza. There are 7 different 6. There 20 kittens in a pet shop. If three kittens will be given away for adoption, how many are possible? 24 45 letters g, e, n, a. How many arrangements are possible, if the password has no repeated characters? toppings available. How many different four-topping pizza are possible? 74 120 840 10 1140 8. Suppose that 9 points are distributed on a plane, such that no three points are on the same line. Form a quadrilateral by selecting the vertices from these points. How many quadrilaterals are possible? 7. In how many ways can a coach choose three 9. How many arrangements of the letters of the word 3 024 swimmers from among five swimmers? STATISTICS are possible? 10 240 126 50 400 40 320 12. A club of nine people 11. A couple wants to plant some shrubs around a 10. In how many ways can a boy pick 8 marbles from a box of 10 different colored wants to elect three circular walkway. They have seven different shrubs. How many different ways can the shrubs be planted? officers: President, Vice President and Secretary. How many ways can they elect the officers? 120 45 marbles? 144 720 10 504 900 13. How many ways can you select 2 of 8 different brands of shirt at a 14. A company wants to hire a Computer Programmer, a Software Tester and a END! 28 720 Systems Engineer. There are 10 applicants for the job. How many ways can the company hire the applicants? department store?
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