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Marcia wants to invite at least two of her ten office-mates 07 Jul 2006, 08:41
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Marcia wants to invite at least two of her ten office-mates to her wedding. How many different guest lists could she draw up?

(A) 45 (B) 90 (C) 111 (D) 1113 (E) None of these



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Marcia wants to invite at least two of her ten office-mates 07 Jul 2006, 09:32
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kevincan
Marcia wants to invite at least two of her ten office-mates to her wedding. How many different guest lists could she draw up?

(A) 45
(B) 90
(C) 111
(D) 1113
(E) None of these
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It should be D or E.
D if 10c2 + 10c3 + ............. + 10c10 = 1113.

otherwise E.
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Marcia wants to invite at least two of her ten office-mates 07 Jul 2006, 09:38
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My vote is for (E). We don't know how many workers are in her office and we even don't know if she would invite 10 or 11 or 12 or...
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Marcia wants to invite at least two of her ten office-mates 07 Jul 2006, 11:44
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kevincan
Marcia wants to invite at least two of her ten office-mates to her wedding. How many different guest lists could she draw up?

(A) 45 (B) 90 (C) 111 (D) 1113 (E) None of these
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pretty big calculation involved:
BUt ans. shd be
10C2 + 10C3 ... + 10C10
Ordering of hte guests doesnt matter..
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Marcia wants to invite at least two of her ten office-mates 07 Jul 2006, 14:28
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Hint: How many guest lists could she draw up if she could invite any number of workmates (i.e. 0,1,2,3,4,5,6,7,8,9 or 10)?
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Marcia wants to invite at least two of her ten office-mates 07 Jul 2006, 16:00
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kevincan
Hint: How many guest lists could she draw up if she could invite any number of workmates (i.e. 0,1,2,3,4,5,6,7,8,9 or 10)?
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10C0+10C1+10C2 + 10C3 ... + 10C10 isn't it ??
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Marcia wants to invite at least two of her ten office-mates 07 Jul 2006, 16:06
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For each of the 10 collegues, the girl has two choices, include or exclude?

So there are 2^10 ways of writing the guest list (assuming there can also be fewer than two people invited)
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Marcia wants to invite at least two of her ten office-mates 07 Jul 2006, 16:19
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kevincan
For each of the 10 collegues, the girl has two choices, include or exclude?

So there are 2^10 ways of writing the guest list (assuming there can also be fewer than two people invited)
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Didn't think like this before.. But doens't 10C0+10C1+10C2 + 10C3 ... + 10C10 yeild the same answer ? I agree that this could be tougher way to calculate..
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Marcia wants to invite at least two of her ten office-mates 07 Jul 2006, 16:27
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kevincan
You're right on both counts!
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Gr8.. This would be your answer then.

Total guest lists = 2^10 - 1 = 1023 which has atleast 1 person on the list.

So lists wiht atleast 2 persons = 1023-10 = 1013.. E it is..

Thanks Kevin for awesome explanation.. :)



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