﻿ Permutations and Combinations Worksheets | Problems & Solutions

# Permutations and Combinations Worksheets

Permutations and Combinations Worksheets
• Page 1
1.
A question paper consists of 2 questions with 4 possible answers for each. Find the total number of ways of answering all the questions.
 a. 16 b. 16 c. 8 d. 15

2.
There are 9 routes from City A to City B and 14 routes from City B to City C. Find the number of different ways for a person to travel from City A to City C via City B.
 a. 125 b. 127 c. 23 d. 126

3.
In how many ways can 8 players be chosen from 10 players?
 a. 65 b. 80 c. 45 d. 90

4.
Find the number of 3 element subsets that can be formed from the set {a, b, c, d, e, f, g, h} .
 a. 6 b. 56 c. 336 d. 1

5.
Find the number of permutations of the elements in the set {S, M, I, L, E}.
 a. 5 b. 15 c. 120 d. 110

6.
8 girls need to be arranged around a table. Two among them always sit together. In how many ways can they be arranged?
 a. 360 b. 1,440 c. 5,040 d. 720

7.
In how many ways can 5 different books be arranged on a shelf?
 a. 5! b. 8! c. 4! d. 3!

${}_{8}P{}_{3}$
 a. $\frac{8}{5}$ b. 56 c. 336 d. 6,720