Home › Previous year questions › GATE 2025 AG › Question 10GATE 2025 AG – Question 10 General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 2 marks · Multiple choice
A shop has four distinct ice-cream flavors. Any number of scoops per flavor is allowed and purchase order is irrelevant. How many purchases contain three scoops?
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Show answer and explanation Correct answer: (B) 20
Explanation Count nonnegative solutions of x₁+x₂+x₃+x₄ = 3. Stars and bars gives $\binom{3+4-1}{4-1}=\binom63=\mathbf{20}$, **B**.
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