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PERFORMANCE TASK #1 (QUARTER 3)

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

How many ways can 8 people be seated around a circular table?

a)

5040

b)

1440

c)

720

d)

360

2.

How many distinguishable permutations are possible with all the letters of the word ELLIPSES?

a)

1680

b)

3360

c)

5040

d)

10080

3.

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

(a)  

4.

 

How many ways ways can you arrange the letters in the word math?

(a)  

5.

Find the value of P(7, 2).

(a)  

6.

A couple wants to plant some shrubs around a circular walkway. They have 7 different shrubs. How many different ways can the shrubs be planted?

a)

24

b)

120

c)

720

d)

5040

7.

Find the number of different ways that a family of 9 can be seated around a circular table with 9 chairs.

a)

5 040

b)

40 320

c)

362 880

d)

3 628 880

8.

How many ways can the letters of the word QUIZIZZ be arranged?

(a)  

9.

Find the number of rearrangements of the letters in the word DISTINCT.

a)

5040

b)

10080

c)

20160

d)

40320

10.

If 𝑃(𝑛, 4) = 5040, find the value of 𝑛.

(a)