Question

All the members of a national club participate either in the Badminton or the Chess competition 2100
members participate in the Chess, 1750 participate in the Badminton and 1100 participates in both the
games. How many members does the national club have?
3250
2750
2200
3750
Question not answered​

Answer 1

the answer is 1550 if I do aplus

Answer 2

Answer: 2750

Given:

Number of participants in Chess = 2100

Number of participants in Badminton = 1750

Number of participants in both Badminton and Chess 1100

To find:

We have to find the total number of participants in the national club

Solution:

Let number of participants in chess=n(C ) = 2100

and number of participants in Badminton= n(B) = 1750

Number of participants in both Chess and Badminton= n(C∩B) = 1100

Now n(C∪B) = Total number of participants in national club

We have the relation

n( C∪B) = n(C ) + n(B) - n(C∩B)

             = 2100 + 1750 - 1100

n(C∪B) = 2750

∴The total members in the national club = 2750