The GATE Grind

GATE 2025 CS (CS1) – Question 10

General Aptitude · Quantitative Aptitude: Probability and Combinatorics · 2 marks · Multiple choice

A shop has 4 distinct flavors of ice-cream. One can purchase any number of scoops of any flavor. The order in which the scoops are purchased is inconsequential. If one wants to purchase 3 scoops of ice-cream, in how many ways can one make that purchase?

  1. 4
  2. 20
  3. 24
  4. 48

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (B) 20

Explanation

This is a multiset selection of 3 scoops from 4 flavors: C(3+4-1,3)=C(6,3)=20.