Rami is painting decorative boxes. For each box he paints the lid in one color, the 4 sides in a different color, and

BTGmoderatorDC wrote: ↑

Tue Jan 21, 2020 5:54 pm

Rami is painting decorative boxes. For each box he paints the lid in one color, the 4 sides in a different color, and the base in another different color. Rami has the colors red, blue, green, orange and purple available. How many different possible color schemes are there for Rami to paint each box with using these colors and rules?

(A) 10

(B) 12

(C) 60

(D) 120

(E) 125

OA C

Source: Magoosh

Rami has 5 choices to paint the lid, then she has 4 choices to paint sides and then she has 3 choices to paint the base. Thus, the total number of different possible color schemes are there for Rami to paint each box using these colors and rules = 5*4*3 = 60 schemes

The correct answer: C

Hope this helps!

-Jay
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BTGmoderatorDC wrote: ↑

Tue Jan 21, 2020 5:54 pm

Rami is painting decorative boxes. For each box he paints the lid in one color, the 4 sides in a different color, and the base in another different color. Rami has the colors red, blue, green, orange and purple available. How many different possible color schemes are there for Rami to paint each box with using these colors and rules?


(A) 10

(B) 12

(C) 60

(D) 120

(E) 125


OA C

Source: Magoosh

Since there are a total of 5 colors and order matters, the total number of ways to paint the boxes using 3 colors is:

5P3 = 5 x 4 x 3 = 60

Answer: C