Question

A CHEF HAS SOME BROCCLI, CAULFLOWER, CARROTS, AND SQUASH TO MAKE A VEGETARIAN DISH. LIST THE POSSIBLE COMBINATION OF HE USES ONLY 3 VEGETABLES IN THE DISH.

Answer 1

Wow this is an advanced problem for middle schoolers.

$_nC_r = \frac{n!}{r!(n-r)!}$

where n is the amount of veggies and r is the amount he uses.

$_4C_3 = \frac{4!}{3!(4-3)!} = \frac{4}{1} = 4$ possible combinations.