Shaun is starting a new diet plan that offers him the choice of fruit or yogurt for breakfast, 6 different entrees for lunch, and 9 different entrees for dinner. If Shaun chooses an Italian entree for lunch, he always chooses an Italian entree for dinner. If Shaun chooses a Chinese entree for lunch, he never chooses a Chinese entree for dinner. If there are 2 Italian entrees and 2 Chinese entrees among the lunch choices, and 3 Italian entrees and 3 Chinese entrees among the dinner choices, from how many different daily menus can Shaun choose? Choose the correct choice:	A) 24	B) 36	C) 72	D) 90	E) 108
Let the Breakfast set be {F , Y}   Lunch be {I ,I , C,C , L1,L2}   Dinner be {I,I,I , C,C,C, D1,D2,D3}   There are only 2 restrictions, Italian Lunch has to go with Italian Dinner and Chinese Lunch cannot go with Chinese dinner.   So the set of Breakfast, Lunch and Dinner will   {Any BF, Italian Lunch, Italian Dinner } = 2 * 2 * 2   {Any BF, Chinese Lunch, Not Chinese Dinner} = 2 * 2 * 6   {Any BF, Not Italian or Chinese Lunch, Any Dinner} = 2 * 2 * 9   Adding all these gives 72.   Answer is 72
<result>C</result>
Shaun is starting a new diet plan that offers him the choice of fruit or yogurt for breakfast, 6 different entrees for lunch, and 9 different entrees for dinner. If Shaun chooses an Italian entree for lunch, he always chooses an Italian entree for dinner. If Shaun chooses a Chinese entree for lunch, he never chooses a Chinese entree for dinner. If there are 2 Italian entrees and 2 Chinese entrees among the lunch choices, and 3 Italian entrees and 3 Chinese entrees among the dinner choices, from how many different daily menus can Shaun choose?