How do you calculate combination of choosing 1 5 main dishes 2 10 sides and 4 desserts?

n! / r!(n – r)!

Where:

n Total number of items

r Number of items to choose

In this case, we have to choose 1 item from 5 main dishes, 2 items from 10 sides, and 4 items from 4 desserts. So, r = 1 + 2 + 4 = 7 and n = 5 + 10 + 4 = 19.

Putting these values into the formula, we get: 19! / 7!(19 – 7)! = 6840 / 5040 * 12! = 2419172957270*479001600 1 = 32307278762624 = 605425051881348.