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Counting and Probability

Total questions: 6

Worksheet time: 55mins

Name
Class
Date
1.

How many different four-digit odd natural numbers can be written with the elements of the set

A={1, 2, 3, 4, 5, 6, 7}?

a)

256

b)

360

c)

420

d)

480

e)

864

2.

How many different ways can 3 people sit on 7 chairs next to each other?



(a)  

3.

How many different words can be written using the letters of the word "TURKEY", starting with T and ending with E, with 7 letters, meaningful or meaningless?

a)

90

b)

120

c)

240

d)

720

e)

7!

4.

What is the result of the operation P(6,4)/P(5,2)?



(a)  

5.

In how many different ways can 4 teachers and 5 students be lined up in a straight line with the teachers side by side?

a)

4!

b)

5!.2

c)

6!

d)

6!.4!

e)

9!

6-8.

Muhammed will travel from Istanbul to Ankara to see his grandfather during the summer vacation. The figure above shows two roads from Istanbul to Sakarya, three roads from Sakarya to Ankara, and a railway and an air route between Istanbul and Ankara.

6.

How many different ways can he travel between any two cities he used on his way there and back without using the same road on his way back?

a)

64

b)

56

c)

38

d)

28

e)

24

7.

What is the probability that Muhammed, who travels from Istanbul to Ankara by train, will use a different means of transportation on his way back?

(a)  

8.

According to the table given below, what is the probability that Mohammed will buy the most affordable ticket so as not to use the same type of vehicle on the way back?

a)

2/7

b)

11/15

c)

1/2

d)

2/3

e)

1/3