Answer
a) Chinese
b) Italian
c) No one person gets their first choice all of the time, and not everyone preferred Italian food to Chinese food.
Work Step by Step
a) Italian would receive 9 points (4 from Rachel, 4 from Ross, and 1 from Joey). Chinese would receive 10 points (3 from Rachel, 3 from Ross, and 4 from Joey). Mexican would receive 7 points (2 from Rachel, 2 from Ross, and 3 from Joey). French would receive 4 points (1 from Rachel, 1 from Ross, and 2 from Joey).
b) Eliminating French and Mexican from the choices leave Chinese and Italian. Italian would receive 5 points (2 from Rachel, 2 from Ross, and 1 from Joey). Chinese would get 4 points (1 from Rachel, 1 from Ross, and 2 from Joey).