Permutation and Combination
Basic counting and arrangement problems.
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Take a full mock →Q1 · Permutation and Combination · EASY
In how many different ways can the letters of the word 'ORANGE' be arranged so that the vowels always come together?
Q2 · Permutation and Combination · MEDIUM
A committee of 5 members is to be formed from 6 men and 4 women. In how many ways can this be done if the committee must contain at least 2 women?
Q3 · Permutation and Combination · MEDIUM
A committee of 5 members is to be formed from 6 men and 4 women. In how many ways can this be done if the committee must contain at least 2 women?
Q4 · Permutation and Combination · HARD
In how many ways can 7 boys and 3 girls be arranged in a row such that no two girls are together?
Q5 · Permutation and Combination · MEDIUM
How many 4-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6 without repetition such that the number is divisible by 4?