Digital ACT Math Practice Question #832
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Break 'at least 2 seniors' into two disjoint cases: (Case 1: exactly 2 seniors, 1 junior) and (Case 2: all 3 seniors). Sum their combinations.
Calculate total combinations \( \binom{9}{3} = 84 \). Divide the sum of favorable cases by 84 and reduce the fraction.
Step 1: Calculate total possible 3-person squads from all 9 students: \[ \binom{9}{3} = \frac{9 \times 8 \times 7}{3 \times 2 \times 1} = 84 \] Step 2: 'At least 2 seniors' means either exactly 2 seniors or all 3 seniors. • Case 1 (2 Senior...
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