A restaurant offers a lunch special where you can choose any 3 of a total of 9 dishes. How many different combinations are possible?

use nCr on calculator

N= # of items
r= # items being chosen
answer= 84 combinations

To calculate the number of different combinations, you can use the formula for combinations, which is nCr = n! / r!(n - r)!, where n is the total number of options and r is the number of choices you need to make.

In this case, you have a total of 9 dishes to choose from and need to choose 3 dishes. Therefore, you can calculate the number of combinations as follows:

9C3 = 9! / (3! * (9 - 3)!)
= 9! / (3! * 6!)
= (9 * 8 * 7 * 6!) / (3! * 6!)
= (9 * 8 * 7) / (3 * 2 * 1)
= 84

So, there are 84 different combinations possible when choosing any 3 dishes out of 9 at the restaurant.