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Quiz: Permutations and Combinations

5 questionsNo time limitPass: 60%+10 XP on first pass

The counting principle, nPr vs nCr, arranging letters of a word, people around a table, and selecting committees — with a clear picture of "order matters vs order doesn't".

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  1. Question 1

    How many ways can 4 books be arranged on a shelf?

  2. Question 2

    What is ⁷C₂?

  3. Question 3

    How many different arrangements of the letters of the word BANANA are there?

  4. Question 4

    In how many ways can a captain and a vice-captain be chosen from 11 players?

  5. Question 5

    From 6 boys and 4 girls, how many ways can a team of 3 with at least one girl be chosen?