Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9th
Advertisement Remove all ads

Each student in a class of 35 plays atleast one game among chess, carrom and table tennis. 22 play chess, 21 play carrom, 15 play table tennis, 10 play chess and table tennis, 8 play carrom and tabl - Mathematics

Diagram
Sum

Each student in a class of 35 plays atleast one game among chess, carrom and table tennis. 22 play chess, 21 play carrom, 15 play table tennis, 10 play chess and table tennis, 8 play carrom and table tennis and 6 play all the three games. Find the number of students who play chess and carrom but not table tennis (Hint: Use Venn diagram)

Advertisement Remove all ads

Solution

Let A, B and C represent students play chess, carrom and table tennis.

n(A) = 22, n(B) = 21, n(C) = 15

n(A ∩ C) = 10, n(B ∩ C) = 8, n(A ∩ B ∩ C) = 6

Let “x” represent student play chess and carrom but not table tennis.

Let us represent the data in Venn diagram.

From the Venn diagram we get,

Number of students play atleast one game = 35

12 – x + x + 13 – x + 2 + 6 + 4 + 3 = 35

40 – 35 = x

5 = x

Number of students who play chess and carrom but not table tennis = 5

Concept: Cardinality of a Set
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

Samacheer Kalvi Mathematics Class 9th Tamil Nadu State Board
Chapter 1 Set Language
Exercise 1.6 | Q 12. (i) | Page 36
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×