CAT 2025 Slot 1 QA Question 14: 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 als

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 als

Accepted Answer

There are 5 choices for the sandwich type, 4 choices for bread, and 2 choices for size.

The customer may add $0$, $1$ or $2$ sauces out of $6$.
$	ext{Number of sauce choices} = \binom{6}{0} + \binom{6}{1} + \binom{6}{2}$
$	ext{Number of sauce choices} = 1 + 6 + 15 = 22$

Total orders = $5 	imes