4) There are 6 poles with lengths 1 ft, 2ft, 3ft, 4ft, 5ft and 6ft. In how many different ways can
you pick 3 poles and make a triangle with them?
PLS PLS PLS HELP
The triangle side length rule states that the 2 shorter side lengths must always be greater than the biggest side.
Here are all the combinations:
6-5-4 5-4-3 4-3-2
6-5-3 5-4-2
6-5-2
6-4-3
Thus, there are only \(\color{brown}\boxed{7}\) ways to form a triangle.
The triangle side length rule states that the 2 shorter side lengths must always be greater than the biggest side.
Here are all the combinations:
6-5-4 5-4-3 4-3-2
6-5-3 5-4-2
6-5-2
6-4-3
Thus, there are only \(\color{brown}\boxed{7}\) ways to form a triangle.