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# 2003 AIME II problem 3

2003 AIME II Problem 3. Created by Sal Khan.

## Want to join the conversation?

• Wow its amazing how simple these questions are! I'm watching these videos because I plan to register my high school for state math league competitions in the fall (so I'm sort of preparing:/), and I always thought these were impossible questions(sort of from experience of being the worst math league team member in middle school). But Mr. Khan makes these soooo easy! Does anyone have any advice for me though?
• Make sure you keep practicing. These skills, such as identifying patterns and being able to "see" potential solutions, easily fade with time. Keep it up! :)
• where`s 2003 AIME II Problem 2
• They probably just decided not to make a video on it. Maybe the problem was "too hard" for them to make a video on. Maybe Sal Khan has just not gotten time to work on the problem in his work office--because he does the videos, he needs to be able to demonstrate how to solve the problem.
Just a side note, the 2003 AIME II problems 1 and 3 seem quite easy for the AIME. I solved each one in two or three minutes, and most AIME problems are expected to take around 10 to 12 minutes to solve...
(1 vote)
• for what grade level are these AIME question..?
• There's no set grade level, it depends on your math/problem-solving abilities.
As for what grade you're allowed to take the test, yes, you have to be in 12th-grade or under to officially take the AIME.
(1 vote)
• What if C can be immediately followed by A, but other restrictions remain the same?
• Why does multiplying these possibiities gives amount of seven letter good words that can be written?
(1 vote)
• This kind of counting is called constructive counting. It is based on the multiplication rule of probability (or whatever it's called).
http://algebralab.org/lessons/lesson.aspx?file=Algebra_ProbabilityMultiplicationRule.xml
(1 vote)
• I have no idea what's going on