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Answered

solve the following problems using venn diagram.

3. In a group of students, 30 played chess, 19 played volleyball, 25 played basketball , 14 played both volleyball and chess, 8 played both basketball and volleyball, 15 played both basketball and chess and 5 played both three events. How many played chess only, basketball only and volleyball only? How many students are there in all? ​

Sagot :

Totobolzgo

Answer:

Chess only = 6

Volleyball only = 2

Basketball only = 7

Total Students = 42

Step-by-step explanation:

5 students plays all.

This needs to be subtracted to both Chess and Volleyball, Volleyball and basketball, and Chess and Basketball.

C intersect V - (C intersect B intersect V) = 14 - 5 = 9

B intersect V - (C intersect B intersect V) = 8 - 5 = 3

C intersect B - (C intersect B intersect V)= 15 - 5 = 10

C only = 30 - 9 - 10 - 5 = 30 - 24

C only = 6

V only = 19 - 9 - 3 - 5 = 19 - 17

V only = 2

B only = 25 - 10 - 3 - 5 = 25 - 18

B only = 7

Total of Students = 5 + 9 + 3 + 10 + 6 + 2 + 7

Total of Students = 42

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