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30 Oct 2014, 09:27
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
62% (01:49) correct
38%
(01:47)
wrong
based on 779
sessions
History
Date
Time
Result
Not Attempted Yet
On Tuesday, Kramer purchases exactly 3 new shirts, 2 new sweaters, and 4 new hats, On the following day and each subsequent day thereafter, Kramer wears one of his new shirts together with one of his new sweaters and one of his new hats. Kramer avoids wearing the exact same combination of shirt, sweater, and hat for as long as possible. On which day is this no longer possible?
A. Tuesday
B. Wednesday
C. Thursday
D. Friday
E. Saturday
A. Tuesday
B. Wednesday
C. Thursday
D. Friday
E. Saturday
30 Oct 2014, 17:10
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Shirt combinations = 3!/1*(3-1)! = 3*2*1/1*2*1 = 3
Sweater combinations = 2!/1*(2-1)! = 2*1/1*1 = 2
Hat combinations = 4!/1!*(4-1)! = 4*3*2*1/1*3*2*1 = 4
Total Combinations = Shirt Combos*Sweater Combos*Hat Combos
3*2*4=24 combinations
24 / 7 (days of the week) = remainder of 3
Purchased on Tuesday, 3rd day is Friday. Next day, which he won't have a new combination for, is Saturday. (E)
Sweater combinations = 2!/1*(2-1)! = 2*1/1*1 = 2
Hat combinations = 4!/1!*(4-1)! = 4*3*2*1/1*3*2*1 = 4
Total Combinations = Shirt Combos*Sweater Combos*Hat Combos
3*2*4=24 combinations
24 / 7 (days of the week) = remainder of 3
Purchased on Tuesday, 3rd day is Friday. Next day, which he won't have a new combination for, is Saturday. (E)
General Discussion
30 Oct 2014, 17:32
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Bunuel
Tough and Tricky questions: Combinations.
On Tuesday, Kramer purchases exactly 3 new shirts, 2 new sweaters, and 4 new hats, On the following day and each subsequent day thereafter, Kramer wears one of his new shirts together with one of his new sweaters and one of his new hats. Kramer avoids wearing the exact same combination of shirt, sweater, and hat for as long as possible. On which day is this no longer possible?
A. Tuesday
B. Wednesday
C. Thursday
D. Friday
E. Saturday
Total combinations of Shirts, Sweaters and Hats - 3*2*4 = 24
So, on 25th day, he'll have to repeat a combination. So, starting Wed, 25th day is Sat.
Ans. E
