The problem involves determining the number of possible passwords composed of 2 alphabetic letters and 3 digits selected from the digits 3, 4, 5, 6, and 7, with the condition that no letter or digit can be repeated.
The discussion includes various interpretations of the problem, with some participants providing calculations while others emphasize the importance of clarity in the problem statement. There is no explicit consensus on the correct approach or interpretation.
Participants note that the problem's wording may lead to different interpretations regarding the order of letters and digits, which could affect the solution approach. There is also mention of the potential for miscommunication among posters regarding problem details.
tramtran111 said:i got the answer! you just simply multiply these number 26 . 25. 5.4.3 =39000
Avodyne said:(I'm assuming that the letters and digits can appear in any order; the problem could be read as saying that a password is 2 letters followed by 3 digits.)
tramtran111 said:i got the answer! you just simply multiply these number 26 . 25. 5.4.3 =39000
A bit of both.fionadlegend said:Passwords are made up of 2 alphabetic letters and 3 digits from the digits 3,4,5,6,7. How many passwords are there with no letter or digit being repeated?
Homework Equations
im confused as to whether its a combination or a premutation
Avodyne said:(I'm assuming that the letters and digits can appear in any order; the problem could be read as saying that a password is 2 letters followed by 3 digits.)
Shooting Star said:Your two sentences above contradict each other. Why should the problem could be read as you say? Any letter or number can sit anywhere, which you said in the first sentence.
HallsofIvy said:I believe it would be clearer if he had included a word "but"
"I'm assuming that the letters and digits can appear in any order; but the problem could be read as saying that a password is 2 letters followed by 3 digits."
HallsofIvy said:I agree with you. But posters here don't always copy the problem correctly and having "alphabet first, then digits" is common enough that it would be reasonable to at least note it.