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Shaun is starting a new diet plan that offers him the choice of fruit [#permalink]
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Updated on: 08 Sep 2016, 09:04
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63% (02:22) correct 37% (02:05) wrong based on 68 sessions
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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? A. 24 B. 36 C. 72 D. 90 E. 108
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Originally posted by sahilmshah92 on 08 Sep 2016, 08:53.
Last edited by Bunuel on 08 Sep 2016, 09:04, edited 1 time in total.
RENAMED THE TOPIC.



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Re: Shaun is starting a new diet plan that offers him the choice of fruit [#permalink]
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08 Sep 2016, 09:25
sahilmshah92 wrote: 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?
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 C



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Re: Shaun is starting a new diet plan that offers him the choice of fruit [#permalink]
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09 Sep 2016, 04:27
Senthil1981 wrote: sahilmshah92 wrote: 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?
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 C You meant this? {Any BF, Italian Lunch, Italian Dinner } = 2 * 2 * 3 {Any BF, Chinese Lunch, Not Chinese Dinner} = 2 * 2 * 6 {Any BF, Not Italian or Chinese Lunch, Any Dinner} = 2 * 2 * 9 Anyway, it makes sense to me now. Thank you



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Shaun is starting a new diet plan that offers him the choice of fruit [#permalink]
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01 Aug 2017, 13:14
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? 24 36 72 90 108



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Re: Shaun is starting a new diet plan that offers him the choice of fruit [#permalink]
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01 Aug 2017, 13:22



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Re: Shaun is starting a new diet plan that offers him the choice of fruit [#permalink]
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01 Aug 2017, 21:07
sahilmshah92 wrote: 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?
A. 24 B. 36 C. 72 D. 90 E. 108 Breakfast  2 (F or Y) Lunch  6 (2I, 2C, 2O) Dinner  9 (3I, 3C, 3O) If L = I then D = I If L= C then D is not equal to C Italian Lunch 2 * 2 * 3 =12 Chinese Lunch 2* 2 * 6 = 24 Other Lunch 2 * 2 * 9 = 36 Total = 72 options C
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Re: Shaun is starting a new diet plan that offers him the choice of fruit
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