﻿ Permutations and Combinations Worksheet - Page 2 | Problems & Solutions

# Permutations and Combinations Worksheet - Page 2

Permutations and Combinations Worksheet
• Page 2
11.
A school has 15 teachers out of which 9 are male. A team of 9 teachers is to be formed with 5 female teachers. In how many ways can the team be formed?
 a. 776 b. 746 c. 756 d. 766

12.
A number lock has 8 different digits. A combination of two digits can be set to open the lock. How many combinations are possible?
 a. 48 b. 56 c. 16 d. 64

13.
Find the number of ways of choosing 4 members from a team of 15 members.
 a. 1365 b. 1265 c. 169 d. 179

14.
A balloon-seller has balloons of 3 different sizes (small, medium and large) and balloons are available in 4 different colors(violet, green, yellow, and blue). In how many possible ways can you choose a balloon?
 a. 12 b. 7 c. 4 d. 3

15.
If there are 5 gold coins and 2 silver coins available, then in how many ways can you choose a gold and a silver coin?
 a. 10 b. 12 c. 11 d. 2

16.
How many 2-digit permutations can be formed using the 10 digits (0,1,...9) exactly once?
 a. 90 b. 80 c. 20 d. 10

17.
How many permutations are there of the letters in the word SURPRISE?
 a. 40320 b. 10080 c. 10082 d. 20160

18.
How many different 4-letter permutations can be formed using the letters in the word 'united' exactly once?
 a. 360 b. 15 c. 720 d. 24

19.
Find the number of permutations of the elements in the set {S, M, I, L, E}.
 a. 5 b. 110 c. 15 d. 120