select the correct answer. a color palette at a paint store has 6 shades of blue. kelsie is choosing 2…

select the correct answer. a color palette at a paint store has 6 shades of blue. kelsie is choosing 2 shades of blue to paint her room. how many pairs of colors can she pick from the color palette? a. 12 b. 15 c. 30 d. 720

select the correct answer. a color palette at a paint store has 6 shades of blue. kelsie is choosing 2 shades of blue to paint her room. how many pairs of colors can she pick from the color palette? a. 12 b. 15 c. 30 d. 720

Answer

Explanation:

Step1: Use combination formula

$C(n,k)=\frac{n!}{k!(n - k)!}$, here $n = 6$, $k=2$.

Step2: Calculate factorials

$C(6,2)=\frac{6!}{2!(6 - 2)!}=\frac{6\times5\times4!}{2\times1\times4!}=15$

Answer:

B. 15