Stats problem please help?

Posted on 2015-09-23 07:00:00 in Statistics by MERRY

Suppose you have a bike lock with a code that is seven alpha-numeric characters long. The first three of these are letters, and the remaining 4 of these are numbers.

a) How many different possible codes are there if you can repeat letters and numbers?
b) How many different possible codes are there if you cannot repeat numbers but can repeat letters?
c) How many different possible codes are there if you cannot repeat numbers and cannot repeat letters?
d) Assume that you cannot repeat any letter or number. What is the probability that the letters in the
combination are A, B, and C in any order?
e) Assume that you cannot repeat any letter or number. What is the probability that all the numbers are
odd?
f) Assume that you cannot repeat any letter or number. What is the probability that a combination uses
only vowels (that is A, E, I, O, or U) or only even numbers?

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