LESSON 10

Question 1

How many ways can 5 people be seated on a bench?

Question 1 options:

a. 3125

b. 25

c. 5

d. 120

Question 2

How many ways can 3 girls and 3 boys sit in a row if boys and girls must alternate?

Question 2 options:

a. 720

b. 72

c. 6

d. 3

Quiz

Question 3

How many ways can you arrange the letters in the word REDCOATS if the word must start with a vowel?

Question 3 options:

a. 336

b. 15 120

c. 40 320

d. 25 200

Question 4

How many ways can you arrange the letters in the word REDCOATS if the word must start with a consonant?

Question 4 options:

a. 15 120

b. 25 200

c. 336

d. 40 320

Quiz

Page 3 of 5

Question 5

How many 8 letter words can be made from the word ABSOLUTE if ABS must be together?

Question 5 options:

40 320

5040

1440

4320

Question 6

How many 8 letter words can be made from the word ABSOLUTE if B must always follow A?

Question 6 options:

a. 40 320

b. 5040

c. 1440

d. 4320

Question 7

There are 10 teams in the Eastern Division of the Ontario Hockey league.How many ways can the season end if we know the Niagara Ice Dogs will finish first, the Sudbury Wolves will finish 7th and the Mississauga St. Mike' Majors finish last?

Question 7 options:

a. 5040

b. 3 628 800

c. 241920

d. 1 088 640

Question 8

There are 10 teams in the Eastern Division of the Ontario Hockey league.How many finishes could there be if if we know that Niagara, Sudbury, or Mississauga will win the Eastern division?

Question 8 options:

a. 1 088 640

b. 5040

c. 3 628 800

d. 241920

Question 9

The Canadian postal code system consists of six characters where the first, third, and fifth characters are letters and the other characters are digits.

No postal code in Canada canbeginwith the letters D,F,I,O,Q,U, but repeated letters are allowed and any digit is allowed. How many postal codes are possible in Canada?

Question 9 options:

a. 338 000

b. 10 140 000

c. 13 520 000

d.3 380 000

Question 10

The Canadian postal code system consists of six characters where the first, third, and fifth characters are letters and the other characters are digits.

The first letter of the postal code represents the province. In Ontario all postal codes start with KLMNP. How many different postal codes are possible inOntario?

Question 10 options:

a. 13 520 000

b. 10 140 000

c. 338 000

d. 3 380 000