Question

Please do question 19 and 27. Please show all work

19) A) How many different area code 909 telephone numbers are possible? Assume that the first digit of any

phone number cannot be 0 or 1. ) B) Suppose a computer requires eight characters for a password. The first three characters must be letters and the remaining five characters must be numbers. How many passwords are possible?

27) In how many ways can 8 people be arranged for a photograph session?

Answer 1

Solution:-

19) B) The number of possible passwords is 471,744,000.

Total characters needed for password = 8

Total number of letter that can be chosen = 26

Total numbers that can be chosen = 10

The number of possible passwords = (26*25*24) (10*9*8*7*6)

The number of possible passwords is 471,744,000.

27) The number of ways 8 people be arranged for a photograph session is 40320.

Total number of people = 8

The number of ways 8 people be arranged for a photograph session = 8!

The number of ways 8 people be arranged for a photograph session is 40320.