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There are two identical red, two identical black, and two identical white balls. In how many different ways can the balls be placed in the cells such that balls of the same color do not occupy any two consecutive cells

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There are two identical red, two identical black, and two identical white balls. In how many different ways can the balls be placed in the cells such that balls of the same color do not occupy any two consecutive cells?

(a)

15

(b)

18

(c)

24

(d)

30

Answer:

(c)

Explanation

The balls can be placed in 24 ways while avoiding consecutive same-colored balls.