Adaptive Practice
Permutations and Combinations
10 questions • Earn up to 98 XP • First attempt — go for 100%!
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Question 1 of 10
⏱ 0:30
Easy
How many different ways can 3 students be selected from a group of 5?
Easy
In how many ways can the letters of the word 'INDIA' be arranged?
Easy
How many 4-digit numbers can be formed using digits 1, 2, 3, 4, 5 without repetition?
Medium
From 7 men and 6 women, a committee of 5 is to be formed with at least 3 women. How many such committees are possible?
Medium
How many ways can the letters of the word 'BANANA' be arranged?
Medium
How many 5-digit numbers can be formed using digits 0,1,2,3,4,5 if repetition is not allowed and the number cannot start with 0?
Medium
In how many ways can 4 boys and 3 girls be seated in a row such that all girls sit together?
Easy
How many different 3-digit numbers can be formed using digits 1, 2, 3, 4, 5 if repetition is allowed and digits are in strictly increasing order?
Easy
From 10 distinct books, in how many ways can 4 books be selected and arranged on a shelf?
Hard
A committee of 4 is to be formed from 6 men and 5 women such that at least 2 women are included. How many such committees are possible?