Question

In a batch of 10 items, we wish to extract a sample of 3 without replacement. How many different samples can we extract?

Answer 1

Answer:

120

Step-by-step explanation:

Given In a batch of 10 items, we wish to extract a sample of 3 without replacement. How many different samples can we extract?

 So by factorial method we get

     10 ! / 7! X 3!

   = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 / 7! X 3 x 2 x 1

    = 10 x 9 x 8 / 6

      = 120

So 120 samples can be extracted.