Question 14
Paul has three tubes of balls as shown.

Pressing A, B or C opens the corresponding barrier and lets exactly one ball pass into storage. The balls in storage must be in increasing numerical order from bottom to top. What is the greatest number of balls that can be sent into storage?

Pressing A, B or C opens the corresponding barrier and lets exactly one ball pass into storage. The balls in storage must be in increasing numerical order from bottom to top. What is the greatest number of balls that can be sent into storage?