For these problems, it is not necessary that you perform computations. Answers i

Question

For these problems, it is not necessary that you perform computations. Answers in terms of factorials are perfectly fine. How many ways can you choose 5 items out of 8 items? How many different ways can 5 individuals sit at a table? How many different ways can 5 individuals out of 9 individuals sit at a table? How many possible 6-number passwords can Ik? created from 26 letters? How many 4-digit PINs can be created from the digits 1-9? If you could test 1,000 PINs per minute, how long would it take you to test all possible PINs?

Explanation / Answer

1) 8C5 =8!/(3!*5!)

2) 5! ways ( n people can sit in n! ways)

3) 9C5*5! = 9!*5!/(4!*5!) =9!/4!

4) 26P6 = 26! / 20!

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