reto wrote:

"Ice-Cold" Ice-cream factory produces only tricolor ice-cream products, where each ice-cream has three stripes of different colors. The factory uses the colors pink, purple, orange, silver, blue and red. How many different ice-cream products have at least one stripe out of the following colors: pink, purple or orange (assume that the order of the stripes in a single ice-cream does not matter)?

A. 12

B. 14

C. 18

D. 19

E. 20

Number of combinations with pink color:-

Colours available after choosing pink are purple,orange,silver,blue and red. 2 colors are to be chosen.

Number of ways of choosing 2 colours out of 5 is 5C2 =

10Number of combinations with purple colour:-

Colours available after choosing purple are orange,silver,blue and red.

Number of ways of selecting 2 colours out of 4 is 4C2=

6Number of combinations with orange colour:-

Colours available after choosing orange are silver,blue and red.

Number of ways of selecting 2 colours out of 3 is 3C2=

3Total number of combinations are 10+6+3 = 19

Answer:- D