Look for a pattern #7

LP #8

Hints and answers

How many numbers less than 124 are divisible by 2, 3 and 5?

This is a counting problem, similar to but not exactly like the last one. One feature in common with yesterday is that you need to count the elements of a rather complicated set. And it might be a good idea to consider a simplified version of the problem first.

For example, you might first try and count the how many numbers less than 124 are divisible just by 3. Or by 2 and 3. Then you can throw in the 5's once you see what is going on.

As always, be sure to explain the work you did to arrive at your answers!