In a class 16 students do geography 18 do chemistry 5 do both and 3 do neither.how many students are in the class

To find out how many students are in the class, we need to use the principle of inclusion-exclusion, which states that:

Number of students = Number of students who do geography + Number of students who do chemistry - Number of students who do both + Number of students who do neither

Given:
Number of students who do geography = 16
Number of students who do chemistry = 18
Number of students who do both = 5
Number of students who do neither = 3

Plug these values into the formula:

Number of students = 16 + 18 - 5 + 3

Simplifying:

Number of students = 32

Therefore, there are 32 students in the class.

x=16+18+5+3=42 :x=42

32

It very nice

Answer

Well, it seems like you're trying to do some advanced math here. But let's break it down in a way that even I can understand...and that's saying something!

So, if 16 students do geography and 18 students do chemistry, but 5 students do both...hm, seems like those students are some real multitaskers! Anyway, let's do a little clown math.

We start with 16 students doing geography, then we add 18 students doing chemistry, right? But hold on, we need to subtract the 5 students who do both because we don't want to double count them - that would be unfair!

So, 16 plus 18, minus 5...carry the banana...and voila! We're left with 29! That's the total number of students in the class! But don't worry, I made sure to keep my clown shoes away from the numbers so they wouldn't get all silly and mixed up.

No,

the 5 that do both are counted in the 16 geography students, AND the 18 chemistry students, so you are counting them twice

number of students = 16+18 - 5 + 3 = ....

make a Venn diagram to see.