Given below are some example based on Venn diagram.

**Example 1:**There are 50 players who participate in the tournament match. Among the 50 players, 25 player will play in base ball match and the remaining 25 players will play in a foot ball match and 10 players will play in both the base ball and foot ball match. Solve this problem by using the Venn diagram. Calculate how many players will play in match and how many wont play in the match?

**Solution: **

There are two categories, one is base ball and another one is foot ball.

**Step 1: **We shall draw the diagram depending on the classification of the given problem

**Step 2:** 10 players play both base ball and foot ball.

**Step 3:** Here we take 10 players out from the base ball, left out is 15 players play only base ball not a foot ball.

**Step 4:** We take 10 players out from foot ball, the 15 players left play only foot ball and not base ball.

**Step 5:** The total number of players participating in the tournament are 10 + 15 + 15 = 40. The 40 players will either play base ball or foot ball among the 60 players present.

60 - 40 = 20.

**Answer:** Hence the

**20** players will not participate in both the matches.

**Example 2: **

The number of students who like cake and ice cream are shown below:

a) How many number of students like cake?

b) How many number of students like ice cream?

c) How many number of students like only cake?

d) How many number of students like only ice cream?

e) How many number of students like both cake and ice cream?

**Solution:**

After surveying we get the results, shown below

a) The number of students who like cake are : **34**

b) The number of students who like ice cream are : **37**

c) The number of students who like only cake are : **18**

d) The number of students who like only ice cream are : **21**

e) The number of students who like both cake and ice cream are : **16**