A balloon artist is hosting a show with 7 kids. He bought 8 yellow balloons, 8 red balloons, 5 blue balloons. If he wants to give 16 balloons in total for the kids, so each gets two balloons, and including at least 2 yellow balloons, and 1 red balloon

use inclusion exclusion principle to find the possibilities to choose from the balloons he bought. Don't Distinguish between who gets what balloon, only consider the 16 balloons.

Please only use inclusion exclusion principle to find the number of ways. Other ways doesn't answer the question