Asked by Jessie
A hotel gives every customer who makes a reservation a confirmation code. How many different confirmation codes can be created if each code has 4 letters followed by 2 numbers?
Answers
Answered by
Damon
letters a through z. There are 26 on my keyboard
order matters so permutations of 26 taken 4 at a time
= 26!/[22!]= 26*25*24*23
10 numbers (0 through 9)
again order matters
= 10!/8! = 10*9
so in the end
10*9*26*25*24*23
order matters so permutations of 26 taken 4 at a time
= 26!/[22!]= 26*25*24*23
10 numbers (0 through 9)
again order matters
= 10!/8! = 10*9
so in the end
10*9*26*25*24*23
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