there are balls of colors red, blue and green. 65 students of a class like exactly one color, 10 students like no color, 40 students like exactly 2 colors and 15 students like all the 3 colors

1. how many students are there in the class.
2.how many students like atleast 2 colors.

#1: 10+65+40+15 = 130

#2: 40+15 = 55

1: 65+10+40+15=130

2:40+15=55

To answer these questions, let's break down the given information step by step.

1. To find out how many students are in the class, we need to add up the number of students who like each color.

- Let's start with the 65 students who like exactly one color.
- Next, we'll add the 10 students who like no color, meaning they don't like any of the three colors.
- Then, we'll add the 40 students who like exactly two colors.
- Finally, we'll add the 15 students who like all three colors.

So, the total number of students in the class can be calculated as follows:

Total students in the class = students liking exactly one color + students liking no color + students liking exactly two colors + students liking all three colors

Total students in the class = 65 + 10 + 40 + 15

2. To find out how many students like at least two colors, we need to consider three scenarios:

a) Students who like exactly two colors: This number is given as 40.

b) Students who like all three colors: This number is given as 15.

c) Students who like all three colors can also be considered as students who like at least two colors.

To find the total number of students who like at least two colors, we need to add up scenarios a) and b):

Total students liking at least two colors = students liking exactly two colors + students liking all three colors

Total students liking at least two colors = 40 + 15

Now, you can plug in the values and calculate the answers to both questions.