Question

1) How many ways can six books be arranged on one shelf?
a) 21
b) 120
c) 360
d) 720

2)There are eight girls competing in an ice-skating competition. In how many ways can they finish in first, second, and third place?
a) 336
b) 1,680
c) 2,016
d) 40,320

3)How many ways can a president and vice president be selected from a class of 12?
a) 23
b) 72
c) 132
d) 1,320

4)How many ways can seven students line up for a class picture?
a) 5,040
b) 210
c) 28
d) 7

Answer 1

1) 6!

Answer 2

all of these use the counting principle
if there are n ways to do one thing and m ways to do another, there are \(n\times m\) ways to do them together

Answer 3

There are eight girls competing in an ice-skating competition. In how many ways can they finish in first, second, and third place?

8 choices for first
7 choices for second (since first is now taken)
6 choices for third

counting principle says it is \(8\times 7\times 6\)

Answer 4

is the first one 720?

Answer 5

yes

Answer 6

Yes. The correct choice for 1) is 720.

Answer 7

are u a connections academy student @heyheyheyhelpme123 cuz i had the same question on a test

Answer 8

yes but this is a quick check not a test

Answer 9

I did this like 2 months ago. 7 grade?

Answer 10

ya

Answer 11

can you help?

Answer 12

sure

Answer 13

one sec

Answer 14

ok thank you:)

Answer 15

1.d
2.a
3.c
4.a
Is your teacher Ms. Tashjian?

Answer 16

no kym van dyken