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

iThinkiCanDoMath Feb 24, 2022

#2**0 **

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.

BuilderBoi Feb 24, 2022

#2**0 **

Best Answer

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.

BuilderBoi Feb 24, 2022