﻿ Permutations and Combinations Worksheet | Problems & Solutions

# Permutations and Combinations Worksheet

Permutations and Combinations Worksheet
• Page 1
1.
A number lock has 9 different digits. A combination of three digits can be set to open the lock. How many combinations are possible?
 a. 168 b. 504 c. 42 d. 84

2.
Bill has balls of 3 different sizes (small, medium and large) and in 5 different colors(white, green, red, yellow and blue). In how many possible combination can he choose two balls?
 a. 4 b. 15 c. 3 d. 7

3.
A team of 3 students is to be formed out of 6 students. In how many ways can the teams be formed?
 a. 32 b. 140 c. 120 d. 20

4.
In a class, there are 15 students. Out of them, 9 are boys. A team is to be formed with 10 students of them 6 must be boys. In how many ways can the team be formed?
 a. 720 b. 630 c. 1260 d. 3003

5.
In how many ways can 3 pizza toppings be selected from a group of 12 toppings?
 a. 220 b. 120 c. 1320 d. 1230

6.
Find the number of permutations of the elements in the set {J, O, H, N}.
 a. 6 b. 24 c. 8 d. 16

7.
Find the number of permutations of the elements in the set {S, O, R, R, Y}.
 a. 4 b. 110 c. 24 d. 120

8.
How many different 3-letter permutations can be formed using the letters in the word 'SCARED' exactly once?
 a. 360 b. 24 c. 120 d. 15

9.
How many permutations are there of the letters in the word CIRCUS?
 a. 720 b. 24 c. 120 d. 180