Adaptive Practice
Permutations and Combinations
10 questions • Earn up to 110 XP • First attempt — go for 100%!
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Question 1 of 10
⏱ 0:30
Easy
How many ways can 5 students be arranged in a row?
Medium
From a group of 7 boys and 5 girls, how many ways can a committee of 3 boys and 2 girls be formed?
Medium
In how many ways can the letters of the word 'INDIA' be arranged?
Medium
A box contains 6 red and 4 green balls. How many ways can 3 balls be selected such that at least one is green?
Easy
How many 4-digit numbers can be formed using digits 1,2,3,4,5 without repetition?
Hard
From 8 men and 6 women, a team of 5 is to be formed with at least 3 women. How many such teams are possible?
Medium
In how many ways can the letters of the word 'BANANA' be arranged?
Medium
How many 3-digit numbers can be formed using digits 0,1,2,3,4 if repetition is allowed and the number must be even?
Medium
A password consists of 3 letters followed by 2 digits. Letters and digits can be repeated. How many such passwords are possible?
Hard
From 10 distinct books, in how many ways can 4 books be arranged on a shelf if 2 particular books must not be together?