Question

A person always prefers to eat parantha and vegetable dish in his meal. How many ways can he make his plate in a marriage party if there are three types of paranthas, four types of vegetable dishes, three types of salads, and two types of sauces?

• A. $3360$
• B. $4096$
• C. $3000$
• D. None of these

Answer 1

The correct option is A $3360$

The number of ways he can select at least one parantha is $2^3-1=7$.
The number of ways he can select at least one vegetable dish is $2^4-1=15$.

The number of ways he can select zero or more items from salads and sauces is $2^5$.
Hence, the total number of ways is $7\times 15\times 32=3360$.