A carton of 12 rechargable batteries contains one that is defective. In how many ways can the inspector choose 3 of the batteries and (a) get the one that is defective, (b) not get the one that is defective?

Question

Mathematics

Gay

31 July, 03:01

A carton of 12 rechargable batteries contains one that is defective. In how many ways can the inspector choose 3 of the batteries and (a) get the one that is defective, (b) not get the one that is defective?

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Alisha Hebert · Answer 1

For part "b": you have 1 defective and 11 no defective, so you have a combination 3 by 3 with 11 elements wich are not defective, so 11C2 = 165.

For part "a":you have to choose the only that is defective so you have to order just 2 no defective, i mean from 11 no defective we have 11C2 = 55