Exercises: Combinations

Work through each section in order. Show your work where indicated.

Grade 10·18 problems·~25 min·ACT Math·topic·act-sp-counting-comb

Work through problems with immediate feedback

Recall / Warm-Up

These problems review prerequisite skills.

Which statement correctly explains why $C(5, 3)$ is less than $P(5, 3)$ ?

Combinations use smaller numbers in the formula

Combinations ignore the order of the selected items, so each group is counted once instead of multiple times

Combinations only apply when fewer than half the items are selected

Permutations add items while combinations subtract them