Tuesday, December 15, 2009

A pin number consists of two letters followed by three digits.(a)How many pin numbers are possible?

(b) How many pin numbers are possible if the digits must be different? (c). How many pin numbers are possible if at least two digits are the same? Please explain ur answer thanksA pin number consists of two letters followed by three digits.(a)How many pin numbers are possible?
I'm not sure about part C, but I believe parts A and B are 4,056. I multiplied 26 times 26 times 6. Twenty-six different letters in the two letter positions times the six combinations of 1,2,3.A pin number consists of two letters followed by three digits.(a)How many pin numbers are possible?
a) 26 x 26 x 1000 = 676,000, assuming ';digits'; are zero through nine





b) 26 x 26 x 10 x 9 x 8 = 486,720, assuming only the digits must be different, not the letters. (if the letters must also be different it would be 26 x 25 x 10 x 9 x 8)





c) 26 x 26 x 10 x 10 x 2 = 135,200 This is because the third digit can only be one of two choices - either the same as the first or the second.





I hope this helps....

No comments:

Post a Comment