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Updated on: 08 Sep 2016, 09:04
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.
Last edited by Bunuel on 08 Sep 2016, 09:04, edited 1 time in total.
RENAMED THE TOPIC.
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
67% (02:52) correct
33%
(02:47)
wrong
based on 412
sessions
History
Date
Time
Result
Not Attempted Yet
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
A. 24
B. 36
C. 72
D. 90
E. 108
Senthil1981
Joined: 23 Apr 2015
Last visit: 14 Oct 2021
Posts: 225
Given Kudos: 36
Location: United States
Concentration: General Management, International Business
Schools: Booth PT '19 Ross Weekend"19
WE:Engineering (Consulting)
08 Sep 2016, 09:25
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sahilmshah92
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
09 Sep 2016, 04:27
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Senthil1981
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
