# Venn diagram help

• Jan 22nd 2006, 01:53 PM
batman123
Venn diagram help
A survey of 53 lawyers showed that 10 played golf and tennis; 25 play bridge; 14 play bridge and tennis; 17 play golf and bridge; 9 play all three; 30 play golf; and 22 play tennis.

How many of the lawyers play the following:
bridge only___; exactly two of these games ____; bridge, but not tennis _____; golf or tennis, but not bridge _____ :confused:
• Jan 22nd 2006, 02:13 PM
ThePerfectHacker
Step 1 Fill the Center Intersection.
1)9 Play All three.

Step 2 Fill the Double Intersection.
2)But 10 Play Golf and Tennis, thus, 1 play Golf and Tennis Only.

3)But 14 Play Bridge and Tennis, thus, 5 play Bridge and Tennis Only.

4)But 17 Play Golf and Bridge, thus, 8 play Golf and Bridge Only.

Step 3 Fill the Single spaces.
5)But 25 Play Bridge, thus, 3 play Bridge Only.

6)But 30 Play Golf, thus, 12 play Golf Only.

7)But 22 Play Tennis, thus, 7 play Tennis Only.

Now you fill the Venn Diagram and answer the questions.