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## Main Question or Discussion Point

So here is the problem:

What is wrong with my logic here? I don't get the answer the book gets (130,721,752), and instead get 148, 916, 260.

Now what seems logical to me is first choose 1 of the 10 non-performing and then choose 4 from the remaining 139 chips.A lot of 140 semiconductor chips is inspected by choosing a sample of five chips. Assume 10 of the chips do not conform to customer requirements.

...

c) How many samples of five contain at least one non-conforming chip?

What is wrong with my logic here? I don't get the answer the book gets (130,721,752), and instead get 148, 916, 260.