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8.5/8.6 understanding quiz

Total questions: 8

Worksheet time: 4mins

Name
Class
Date
1.

Which of the following counting techniques is 'order' important?

a)

Premutations

b)

Combinations

c)

Pascal triangle

2.

Which of the following is used to determine different values of selections?

a)

Premutations

b)

Combinations

c)

Pascal triangle

3.

Which of the following counting techniques is 'order' not important?

a)

Premutations

b)

Combinations

c)

Pascal triangle

4.

You are trying to find the different arrangements which you can organise 5 different cats in a circle. Which of the following expressions gives the number of possible arrangements?

a)

(5-1)!

b)

5!4!5!-4!  

c)

5!

d)

5+4+3+2+15+4+3+2+1  

5.

You are drawing a prize raffle with 3 winners with 10 tickets. Which of the following 'CAS inputs' will gives the number of possible combinations of winners?

a)

nCr(10,3)

b)

nCr(3,10)

c)

nPr(3,10)

d)

nPr(10,3)

6.

Albert, Barney, Carol and Derek are organised in a line. If Albert and Derek must be next to each other, how many different arrangements are possible?

a)

3!×2!3!\times2!  

b)

4!

c)

(4-1)!

d)

1

7.

How many ways can you arrange the word 'LEET'?

HINT: two letters are repeating!

a)

4!2!\frac{4!}{2!}  

b)

4!4!  

c)

4!3!\frac{4!}{3!}  

d)

(41)!\left(4-1\right)!  

8.

A survey is conducted on the class of 13 students. It was found 4 students like cats whilst the rest liked dogs.

If 5 student were randomly selected, which of the following expression describes the probability of exactly 2 liking dogs?

a)
b)
c)
d)