Count of Number of Kids.

 Read the problem first!

 Let's recollect all the data given in the question.

1.Fourteen of the kids in the class are girls.

2. Eight of the kids wear blue shirts. 

3.Two of the kids are neither girls or wear a blue shirt.

4.Five of the kids are girls who wear blue shirts.

Now, (3) clearly suggests that there are 2 boys who are not wearing blue shirts. 

From (5) and (2), it's clear that 3 of 8 kids who are wearing blue shirts are boys as 5 of them are girls.

Above 2 conclusions indicates that there are total 5 boys in the class; 2 not wearing blue shirts and 3 wearing blue shirts.

But as per (1), there are 14 girls in a class. 

Hence, total 14 + 5 = 19 kids are there in a class.