(a) 𝓔 = {x: x is an integer and 5 ≤ x ≤ 15} A = {x : x is a multiple of 3} B = {x: x is a factor of 60} C = {x: x is a prime number} (b) An activity camp offers 3 sports: tennis, cricket and volleyball. One day, 50 children took part in these sports. 19 children played tennis, 34 children played cricket and 23 children played volleyball. 2 children played all three sports. 5 children played tennis and cricket. 10 children played tennis and volleyball. By drawing a Venn diagram, or otherwise, find the number of children who played

1. (a)(i)Find n(A∩B∩C).[1]
2. (a)(ii)Find (AUB)'.[1]
3. (a)(iii)A number, r, is chosen at random from 𝓔. Find the probability that r∈ A ∩ B.[1]
4. (a)(iv)Given that D ⊂ B and D ⊂ C, find D.[1]
5. (b)(i)tennis and cricket but not volleyball,[1]
6. (b)(ii)cricket and volleyball but not tennis,[1]
7. (b)(iii)cricket only.[1]