Question

A school club surveyed 67 of its members about who they

were going to root for in the Superbowl. They got the

following results:

-44 were rooting for the Rams

- 30 were rooting for the Patriots

- 23 were rooting for the Saints

- 20 were rooting both for the Rams and the Saints

- 5 were specifically rooting just for the Rams and the Saints, so NOT the Patriots

- 15 were rooting for both the Patriots and the Rams

- 7 were rooting ONLY for the Rams

Fill in the Venn diagram!!!

Answer 1

Rams AND Saints = 20

Rams only = 7

Rams AND Saints but NOT patriots = 5

Rams AND Saints AND Patriots = (Rams AND Saints) – (Rams AND Saints but NOT patriots) = 20-5 = 15

Patriots AND Ram = 15

Hence, Rams AND patriots but NOT Saints = 0

And also, Saints AND patriots but NOT Rams = 0

patriots only = 30-15-0-0 = 15

Saints Only = 23-5-15-0 = 3

Rams OR Patriots OR Saints = 7+0+15+15+5+0+3 = 45

Rest = 67-45 = 22