p0ssum
contestada



Laura wants 3 scoops of ice cream. She can choose from vanilla, chocolate, mint, raspberry, blueberry, and coffee flavors. How many combinations of 3 scoops of ice cream can Laura choosefrom?

Respuesta :

Answer: 20 total combinations

Explanation:

Key word included in the specified question is ‘combinations’. From this, we can eliminate the usage of permutation and probability formula(s).

Let’s start:
Combination formula = nCr = n! / r! • (n-r)!
n = total # of choices
r = selected # from total choices

vanilla + chocolate + mint + raspberry + blueberry + coffee flavor

= 6 total flavors (choices)
^^ n = 6

laura wants 3 from the total # of ice cream flavors
r = 3

nCr can be substituted now that we have found ‘r’ and ‘n’

n = 6
r = 3
nCr = 6C3
= 6! / 3! • (6-3)!
= 6! / 3! • 3!
= 6•5•4•3! / 3•2•1 • 3!
(eliminate 3! from top & bottom denominator)
= 6•5•4 / 3•2•1
= 120 / 6
= 20

Otras preguntas