SOLUTION: You are generating pin codes for ATM cards. Each pin code has 5 places, and each place can be a small letter or a number between 0 and 9. No letter or number can be used more tha

Question 311230: You are generating pin codes for ATM cards. Each pin code has 5 places, and each place can be a small letter or a number between 0 and 9. No letter or number can be used more than once. How many different codes are there?
a) _10_ * _9_ * _8_ * _26_ * _25_ c) 26! + 10!
b) _36_ * _35_ * _34_ * _33_ * _32_ d) _35_ * _34_ * _33_ * _32_ * _31_
I thought the answer was d but i got it wrong can you explain why?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Your first place choice is out of 26 letters+10 numbers=36 total.
Then the second place is out of 35, since you cannot use the one you already chose.
Third, out of 34.
Fourth, out of 33.
Fifth, out of 32.

b) is the correct answer.
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