Question

There are 8 fags of di fferent colors -- white, black, red, yellow, blue, green, purple...

There are 8 fags of di fferent colors -- white, black, red, yellow, blue, green, purple and brown. Suppose that by putting any 3 of the 8 flags together, it conveys a signal.

(a) Assume that the sequence of the colored flags matters. For example, the sequence of white, black and red represents a diff erent signal than black, red, and white. How many signals can be made by choosing 3 flags out of the 8?


(b) Now suppose that the sequence does not matter. For example, white, black and red is the same signal as black, red, and white. How many signals can be made by choosing 3 flags out of the 8?

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Answer #1

(a) We will use permutation for this because here order matters

(b) We will use combination for this because order does not matter

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