900 professional footballers were surveyed with the following results

200 have a swimming pool

305 have a second home

120 have an boat

45 have a boat and a second home

30 have a swimming pool and a second home

32 have a boat and a swimming pool

16 have all three.

(a) Draw a Venn diagram to show this information. Use P to represent the set of footballers who have a swimming pool, H the set of footballers who have a second home and B the set of footballers who have a boat.

(b) Write down the number of footballers that have a swimming pool only

(c) Write down the number of footballers that have a swimming pool and a boat but no second home.

(d) Write down n[B(HP)]n[B(HP)].