CAT 2025 Permutations and Combinations Question (Hard)

Question

A cafeteria offers 5 types of sandwiches. Moreover, for each type of sandwich, a customer can choose one of 4 breads and opt for either small or large sized sandwich. Optionally, the customer may also add up to 2 out of 6 available sauces. The number of different ways in which an order can be placed

Accepted Answer

Number of ways to choose a sandwich 5C_1 ways Number of ways to choose a bread 4C_1 ways Number of ways to choose bread size 2C_1 ways Number of ways to choose sauces 6C_0 6C_1 6C_2 1 6 15 22 ways So, number of different ways 5C_1 times 4C_1 times 2C_1 times 22 5 times 4 times 2 times 22 880 ways.

CAT 2025

Quantitative

Permutations and Combinations

Hard

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