A diner offers 7 types of starters, 12 unique main courses, and 5 kinds of desserts. How many different meal combinations can be created if one selects a starter, at least one and at most two different main courses, and one dessert?

Answer Choices

Correct answer marked below

(7*12*5) + (7*\frac{(12*11)}{2} * 5)

Correct

7*12*5

7*12*2*5

7*11*5

\frac{7*12*5}{2}

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Explanation

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Official Explanation

Official

To determine the number of meal combinations, we consider the following: choosing 1 starter from 7, 1 main course from 12, and 1 dessert from 5 gives us

7*12*5

. Additionally, choosing 1 starter from 7, 2…

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Comments

SaeedJan 3, 2024

Thank for sharing!

ArvindMar 6, 2024

Thankss

What this question tests

What it tests

Whether you can count arrangements and selections correctly — permutations vs. combinations.

Common trap

Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.