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Nana76 [90]
3 years ago
11

There are 3 red chips and 2 blue chips. If they form a certain color pattern when arranged in a row, for example RBRRB, how many

color patterns are possible?A. 10B. 12C. 24D. 60E. 100
Mathematics
1 answer:
svp [43]3 years ago
4 0

Answer:

Option A - 10

Step-by-step explanation:

Given : There are 3 red chips and 2 blue chips. If they form a certain color pattern when arranged in a row, for example RBRRB.

To find : How many color patterns are possible?

Solution :

Total number of chips = 5

So, 5 chips can be arranged in 5! ways.

There are 3 red chips and 2 blue chips.

So, choosing 3 red chips in 3! ways

and choosing 2 blue chips in 2! ways.

As changing the places of similar chip will not create new pattern.

The total pattern is given by,

T=\frac{5!}{3!\times 2!}

T=\frac{5\times 4\times 3!}{3!\times 2}

T=10

Therefore, color patterns are possible are 10.

Option A is correct.

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