Permutation and Combination

Counting principles, nPr and nCr formulas, circular and restricted permutations.

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Q1 · Permutation and Combination · HARD
The number of ways to select and arrange 3 letters from the word EQUATIONS (9 distinct letters) is:
Q2 · Permutation and Combination · EASY
The number of ways to arrange 3 different books on a shelf is:
Q3 · Permutation and Combination · MEDIUM
The value of ⁵C₂ (combination of 5 things taken 2 at a time) is: