Question

Twenty-four people go on holidays. If 15 go swimming, 12 go fishing, and 6
do neither, how many go swimming and fishing? Draw a Venn diagram and
fill in the number of people in all four regions. (7
marks)

Answer 1

Answer:

Please see the attachment

Answer 2

Answer:

9 people go swimming and fishing

Step-by-step explanation:

Total people = 24

Swimming people = 15

Fishing = 12

6 go neither, that is only 18 go either swimming and fishing

We have to find , common people of swimming and fishing.

Now n(s) = 15

n(f) = 12

n(s∪f) = 18

n(s∪f) = n(s) +n(f) - n(s∩f)

18 = 15 + 12 - n(s∩f)

n(s∩f) = 27 - 18 = 9.

Therefore, 9 people go swimming and fishing