A computer company will screen a shipment of 30 processors by testing a random s

Question

A computer company will screen a shipment of 30 processors by testing a random sample of eight of them. How many different samples are possible? First, second and third are to be awarded to three different people. If that are ten eligible candidates, how many outcomes are possible? An automated teller machine (ATM) requires a four-digit personal identification number (PIN), using the digit 0-9. (the first digit may be zero) How many such PINs have repeated digits? (Calculation is necessary to get full credits) How many students in the class must be there to ensure that 6 students get the same grade (one of A, B, C, D, or F)? Use Pigeonhole Principle to explain your answer.

Explanation / Answer

5.30C8 == 5852925

6. 10C3 * 3! = 720

7. total pins - no repeatation

10^4 - (10*9*8*7) = 4960

8. 26

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