Number of Combinations - finite math
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Number of Combinations - finite math

[From: ] [author: ] [Date: 11-09-16] [Hit: ]
it means you need to select all 4 from the set of 27 good calculators, i,e, C(27,......
An electronics store receives a shipment of 30 graphing calculators, including 3 that are defective. Four of the calculators are selected to be sent to a local high school.

A. How many selections can be made using the original shipment?
B. How many of these selections will contain no defective calculators?

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Selecting 30 out of 4, when order doesn't matter, that means 30C4, or C(30,4) or combination (30, 4), i.e.
30! / (4! (30-4)!) = 30x29x28x27 / (4x3x2x1)

To get no defective calculators, it means you need to select all 4 from the set of 27 good calculators, i,e, C(27,4)
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