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Permutations and Combinations (Class 11 — ~20% weight)

Fundamental counting principle, nPr, nCr, circular and restricted arrangements.

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Q1 · Permutations and Combinations (Class 11 — ~20% weight) · MEDIUM
In how many ways can 5 boys and 3 girls be arranged in a row such that no two girls are together?
Q2 · Permutations and Combinations (Class 11 — ~20% weight) · 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 · Permutations and Combinations (Class 11 — ~20% weight) · EASY
In how many ways can 8 people be seated around a circular table if 2 particular persons must always sit together?
Q4 · Permutations and Combinations (Class 11 — ~20% weight) · EASY
In how many ways can 5 boys and 3 girls be seated in a row such that no two girls sit together?
Q5 · Permutations and Combinations (Class 11 — ~20% weight) · HARD
The number of ways of selecting 4 cards from a pack of 52 cards such that exactly 2 of them are kings is: