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 Harryhave won 3 tickets to the1. There are 6 seats in the2. How many ways can theletters in the wordfront row of an auditorium. In33645how many ways can 6students arrange themselvesto sit in the front row?opera. They will randomlychoose 3 people from theirgroup to attend the opera.How many outcomes arePARALLEL be arranged?7201203 36035564. The password for Gena'semail account consists of 4characters chosen from the5. A pizzeria is offering aspecial four-topping pizza.There are 7 different6. There 20 kittens in a petshop. If three kittens will begiven away for adoption,how many are possible?2445letters g, e, n, a. How manyarrangements are possible, ifthe password has no repeatedcharacters?toppings available. Howmany different four-toppingpizza are possible?741208401011408. Suppose that 9 points aredistributed on a plane, such thatno three points are on the sameline. Form a quadrilateral byselecting the vertices from thesepoints. How many quadrilateralsare possible?7. In how many ways can acoach choose three9. How many arrangementsof the letters of the word3 024swimmers from among fiveswimmers?STATISTICS are possible?1024012650 40040 32012. A club of nine people11. A couple wants to plantsome shrubs around a10. In how many ways cana boy pick 8 marbles from abox of 10 different coloredwants to elect threecircular walkway. They haveseven different shrubs. Howmany different ways can theshrubs be planted?officers: President, VicePresident and Secretary.How many ways can theyelect the officers?12045marbles?1447201050490013. How many ways canyou select 2 of 8 differentbrands of shirt at a14. A company wants to hire aComputer Programmer, aSoftware Tester and aEND!28720Systems Engineer. There are10 applicants for the job. Howmany ways can the companyhire the applicants?department store?

Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

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

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

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

Question

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?

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