Permutations and Combinations Quiz Set 009

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Question 1

Section A of an exam has 8 questions, B has 7 questions and C has 4 questions. In how many ways can a student attempt the paper if he has to select one question from each of these sections?

 A

224.

 B

229.

 C

222.

 D

225.

Soln.
Ans: a

Clearly, it is 8 × 7 × 4 = 224.

Solution | Discuss! | Chapters»

Question 2

What is the value of 8C3?

 A

56.

 B

66.

 C

46.

 D

76.

Soln.
Ans: a

8C3 is ${8 !}/{(8 - 3) ! × 3 !}$ = 56.

Solution | Discuss! | Chapters»

Question 3

How many possible outcomes are there if a die with 3 faces is cast and then a coin with 2 sides is tossed?

 A

6.

 B

11.

 C

4.

 D

7.

Soln.
Ans: a

The die can fall in 3 different ways, and a coin in 2 ways. So the outcomes are 2 × 3 = 6.

Solution | Discuss! | Chapters»

Question 4

What is the value of 8P2?

 A

56.

 B

66.

 C

46.

 D

76.

Soln.
Ans: a

8P2 is ${8 !}/{(8 - 2) !}$ = 56.

Solution | Discuss! | Chapters»

Question 5

How many four letter words, with all the letters different, can be formed out of the letters of the word 'CONSUMABLE'?

 A

5040.

 B

5050.

 C

5030.

 D

5060.

Soln.
Ans: a

This word has 10 different letters. The number of possibilities is 10P4 = 5040.

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

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