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Maths olympiad question · P1–P2★ Easy

Combinations: olympiad question 1

An easy question on combinations for P1–P2, with a step-by-step solution, diagrams and the answer. Counting arrangements and choices appears in the Hua Xia Cup from the P1 and P2 first rounds to the P5 finals.

The question

A cha chaan teng's breakfast has 2 kinds of bread and 2 kinds of drink.

Ming orders one bread and one drink.

How many different combinations are there?

Show the hints (2)
  1. Hint 1: Fix one bread. How many kinds of drink can go with it?
  2. Hint 2: Every bread goes with 2 kinds of drink. A table or lines help you count.

Worked solution

Have a go first, then read the solution step by step.

  1. 1.Each bread goes with 2 kinds of drink, and there are 2 kinds of bread.
  2. 2.2 × 2 = 4.
  3. ⚠️Common mistake: adding, 2 + 2 = 4.

Answer: 4 combinations

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