Permutations and Combinations Quiz Set 006

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Question 1

What is the value of 7C2?

 A

21.

 B

31.

 C

11.

 D

41.

Soln.
Ans: a

7C2 is ${7 !}/{(7 - 2) ! × 2 !}$ = 21.

Solution | Discuss! | Chapters»

Question 2

How many 6 digit numbers ending in 0 can be formed with a given set of 8 distinct digits none of which is 0? Repetition of digits is not allowed.

 A

6720.

 B

6730.

 C

6750.

 D

6740.

Soln.
Ans: a

The units place is blocked by zero. The tens place has 8 options, the hundreds place also has (8 - 1) options, and so on. This is expressed as 8 × 7 × 6 × 5 × 4 × 1, which evaluates to 6720.

Solution | Discuss! | Chapters»

Question 3

6 men are standing in front of 8 cabins. In how many ways can they enter the cabins?

 A

20160.

 B

20165.

 C

20158.

 D

20161.

Soln.
Ans: a

The first has 8 options, the second has (8 - 1), and so on. This is expressed as 8P6, which evaluates to 20160.

Solution | Discuss! | Chapters»

Question 4

From a group of 9 men and 5 women, in how many ways can 3 men and 2 women or 2 men and 3 women be selected?

 A

1200.

 B

1210.

 C

1190.

 D

1220.

Soln.
Ans: a

The required count is 5C3 × 9C2 + 5C2 × 9C3 = 1200.

Solution | Discuss! | Chapters»

Question 5

How many 2 digit numbers can be formed with a given set of 6 distinct digits?

 A

36.

 B

46.

 C

66.

 D

56.

Soln.
Ans: a

The first place has 6 options, the second place also has 6 options, and so on. This is expressed as 6 × 6, which evaluates to 36.

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

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