How many 5 letter passwords can be created using 3 A's and 2 B's? Order matters. Thanks for any help
S stop sine New member Joined Sep 9, 2008 Messages 1 Sep 9, 2008 #1 How many 5 letter passwords can be created using 3 A's and 2 B's? Order matters. Thanks for any help
D Denis Senior Member Joined Feb 17, 2004 Messages 1,707 Sep 9, 2008 #2 AAABB AABAB .... BBAAA kapish?
S soroban Elite Member Joined Jan 28, 2005 Messages 5,586 Sep 10, 2008 #3 Hello, stop sine! How many 5-letter passwords can be created using 3 A's and 2 B's? Order matters. Click to expand... \(\displaystyle \text{There are 5 blanks to fill: }\;\_\;\_\;\_\;\_\;\_\) \(\displaystyle \text{Choose 3 of them for the A's. }\:\text{There are: }\:{5\choose3} \:=\:\frac{5!}{3!2!} \:=\:10\text{ ways.}\) \(\displaystyle \text{Then drop the 2 B's in the remaining spaces.}\) . . \(\displaystyle \text{Therefore, there are }\boxed{10}\text{ possible passwords.}\)
Hello, stop sine! How many 5-letter passwords can be created using 3 A's and 2 B's? Order matters. Click to expand... \(\displaystyle \text{There are 5 blanks to fill: }\;\_\;\_\;\_\;\_\;\_\) \(\displaystyle \text{Choose 3 of them for the A's. }\:\text{There are: }\:{5\choose3} \:=\:\frac{5!}{3!2!} \:=\:10\text{ ways.}\) \(\displaystyle \text{Then drop the 2 B's in the remaining spaces.}\) . . \(\displaystyle \text{Therefore, there are }\boxed{10}\text{ possible passwords.}\)
