## Exam-Style Question on Combinations## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 280. This question is similar to one that appeared on a GCSE Higher paper in 2017. The use of a calculator is allowed.

Michael decides to order a starter and a main course from the restaurant menu.

On the menu there is a choice of 12 different starters.

Michael thinks that there are enough main courses to provide exactly 222 different ways of choosing one starter and one main course.

Could Michael be correct?

You must show all of the working you would use to show how you arrived at your answer.

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