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MATHEMATICS

JAMB 2005 - Question 47

Mathematics 2005 JAMB Past Questions - Question 47: In how many ways can 6 colored chalks be arranged if 2 are of the same color?

In how many ways can 6 colored chalks be arranged if 2 are of the same color?

A: 60

B: 120

C: 240

D: 360

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Correct Answer

Explanation

If 2 of the 6 colored chalks are of the same color, we can treat them as indistinguishable. This means that we have 5 distinct chalks to arrange.The number of ways to arrange 5 distinct chalks is given by the factorial of 5, denoted as 5!.5! = 5 x 4 x 3 x 2 x 1 = 360Therefore, there are 360 ways to arrange the 6 colored chalks if 2 of them are of the same color.