# Permutations and Combinations Quiz Set 009

### 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.

### 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.

### 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.

### 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.

### 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. 