Richard has to paint a mural with seven horizontal stripes. He only has enough paint for four red stripes, four blue stripes, four white stripes, four black stripes, and four yellow stripes. If his patron wants at most two different colors in the mural, how many different ways can he paint the wall?
A 120
B 350
C 700
D 2,520
E 5,040
Richard can only have exactly 2 paints as if he chooses one paint he wont have enough of it to paint 7 stripes.
so to choose 2 out of 5 => combinations => 5C2 = 10
As the seven strips can be painted in 3-4 combination of two paints
so arrangements possible = 7!/ 4! 3! = 35
SO total ways = 35 * 10 = 350 but OA given is 700
Please suggest.
A 120
B 350
C 700
D 2,520
E 5,040
Richard can only have exactly 2 paints as if he chooses one paint he wont have enough of it to paint 7 stripes.
so to choose 2 out of 5 => combinations => 5C2 = 10
As the seven strips can be painted in 3-4 combination of two paints
so arrangements possible = 7!/ 4! 3! = 35
SO total ways = 35 * 10 = 350 but OA given is 700
Please suggest.
