Permutations and Combinations Quiz Set 005

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Question 1

From a group of 4 boys and 5 girls, in how many ways can 2 boys and 2 girls be selected?

 A

60.

 B

70.

 C

50.

 D

80.

Soln.
Ans: a

The required count is 5C2 × 4C2 = 60.

Solution | Discuss! | Chapters»

Question 2

From a group of 11 men and 8 women, in how many ways can 3 men and 2 women or 2 men and 3 women be selected?

 A

7700.

 B

7710.

 C

7690.

 D

7720.

Soln.
Ans: a

The required count is 8C3 × 11C2 + 8C2 × 11C3 = 7700.

Solution | Discuss! | Chapters»

Question 3

In how many ways can 7 different types of ice-creams be distributed among 5 boys?

 A

2520.

 B

2525.

 C

2518.

 D

2521.

Soln.
Ans: a

The first can get any of the 7 ice-creams, the second can then get (7 - 1), and so on. This is expressed as 7P5, which evaluates to 2520.

Solution | Discuss! | Chapters»

Question 4

How many 5 digit numbers ending in 0 can be formed with a given set of 5 distinct digits none of which is 0? Repetition of digits is not allowed.

 A

120.

 B

130.

 C

150.

 D

140.

Soln.
Ans: a

The units place is blocked by zero. The tens place has 5 options, the hundreds place also has (5 - 1) options, and so on. This is expressed as 5 × 4 × 3 × 2 × 1, which evaluates to 120.

Solution | Discuss! | Chapters»

Question 5

There are 5 trains between two stations A and B. In how many ways can a student go from A to B and return by any of the available trains?

 A

25.

 B

30.

 C

23.

 D

26.

Soln.
Ans: a

The upward journey is possible in 5 ways, and the downward also in 5 ways. So the outcomes are 5 × 5 = 25.

Solution | Discuss! | Chapters»
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Updated on 2020-02-07. Published on: 2016-05-08

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