In a sports club 24 members play basketball (B), 28 play cricket (C), 16 play football (F), 9 play basketball and cricket, 11 play cricket and football and 6 play basketball and football. Five members play all three games and eight members play none of these games.

1. (a)(i)Complete the Venn diagram to show this information. [Figure 21.1 - A blank Venn diagram with a universal set E and three intersecting circles labelled F, C, and B.][2]
2. (a)(ii)Hence work out the total number of members in the club.[1]
3. (b)In another sports club, the number of members playing basketball (B), cricket (C) and football (F) are shown in the Venn diagram below. [Figure 21.2 - A Venn diagram with a universal set E and three intersecting circles F, C, B, containing the numbers 16 (only F), 3 (F and C only), 2 (F, C, and B), 4 (F and B only), 12 (C only), 11 (C and B only), 5 (B only), and 8 (outside all circles).]
4. (b)(i)Find n(F').[1]
5. (b)(ii)Find n( (F U C) ∩ B').[1]

This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.