Question

At a certain school,25 students played basketball,22 played volleyball,23 played soccer,2 played basketball and volleyball only,1 played basketball and soccer only,3 played volleyball and soccer only,and 6 played volleyball, basketball, and soccer.How many played one or more of the three sports?

Answer 1

In order to calculate how many students played one or more of the three sports, we can use the formula below:

`N(B\cup V\cup S)=N(B)+N(V)+N(S)-N(B\cap V\text{ only})-N(V\cap S\text{ only})-N(B\cap S\text{ only})-2N(B\cap V\cap S)`

From the given information, we have:

N(B) = 25

N(V) = 22

N(S) = 23

N(B and V only) = 2

N(V and S only) = 3

N(B ans S only) = 1

N(B and V and S) = 6.

So we have:

`N(B\cup V\cup S)=25+22+23-2-3-1-12=52`

Therefore the number of students that play at least one sport is 52.