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BASIC COUNTING RULES

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

If there are 16 boys and 22 girls in a class, write the correct number of ways of selecting one student as a class representative

(a)  

2.

If a student want to buy 7 reference's books and 8 exercise's books, then what is the total number of ways of choosing one from all the books

(a)  

3.

Find number of ways of arranging 5 digit numbers from the digits 1, 2, 7, 8 and 9 if repetition is allowed

(a)  

4.

Find number of ways of arranging 6 digit numbers from the digits 1, 2, 3 and 4 if repetition is allowed

a)

4096

b)

256

c)

16

5.

Calculate numbers of ways of arranging the word 'FANTASTICS' in a line

a)

907200

b)

453600

c)

1814400

6.

Without repetition, calculate the number of ways arranging the word 'SMILE'

(a)  

7.

There are 15 participants in program called "Zero Fails Mathematics". Give the possible number of ways for the first 3 places to be seated as VIP by the participants.

a)

2730

b)

455

c)

125

8.

There are five flavors of ice creams such as chocolate, mint, strawberry, vanilla and yam. You can have three scoops of ice cream at once. Find the number of variations that you can have.

(a)  

9.

Find the number of ways of arranging all the letters in the word "GLAMOUR" without repetition such that the first and the last letters are consonants.

(a)  

10.

Calculate the number of ways that the three balls can be chosen randomly from a bag of 15 red balls, 13 green balls and 10 black balls if each ball is from all colors.

(a)