SOLUTION: Imagine that you need to create a pin code that consists of 6 numbers. How many different pin codes can you createif 1. There are no restrictions? 2. None of the numbers can repe

Question 1148564: Imagine that you need to create a pin code that consists of 6 numbers. How many different pin codes can you createif
1. There are no restrictions?
2. None of the numbers can repeat?
3. None of the digits can be even?
4. The first digit cannot be a 3 or 2 and the last digit cannot be a 9?
5. The first digit cannot be a 2 and none of the digits can repeat
Answer by ikleyn(52794) (Show Source): You can put this solution on YOUR website!
.
Imagine that you need to create a pin code that consists of 6 digits.
How many different pin codes can you create if
1. There are no restrictions?
2. None of the numbers can repeat?
3. None of the digits can be even?
4. The first digit cannot be a 3 or 2 and the last digit cannot be a 9?
5. The first digit cannot be a 2 and none of the digits can repeat
~~~~~~~~~~~~~~~~~

(1)   = 1,000,000 different pin codes.


(2)   = 151200 different pin codes.


(3)  If there are no other restrictions, then   = 15,625 different pin codes.


(4)  If there are no other restrictions, then   = 720,000  different pin codes.


(5)  9*9*8*7*6*5 = 136080 different pin codes.

Solved.

If you need more explanations, then let me know, referring to the problem ID number 1148564.

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