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Algebra

Cool goIITian

 Joined: 12 Nov 2010 Post: 73
10 Dec 2010 10:01:41 IST
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6
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A FATHER with 8 children takes 3 at a time to the zoological gardens, as often as he can without tak
Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Algebra

A FATHER with 8 children takes 3 at a time to the zoological gardens, as often as he can without taking the same 3 children together more than once.The no of times he will go the garden is?

Blazing goIITian

Joined: 22 Feb 2010
Posts: 351
10 Dec 2010 10:30:27 IST
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THE MINIMUM IS 3 TIMES FOR 2 TIMES HE TAKES 3+3 THEN IN 3rd TRIP HE TAKES 2+1(ANYONE FROM PREVIOUS 6)

AS THE CONDITION  IS THAT " without taking the same 3 children together more than once" SO ITS FULFILLED AND NO 3 CHILDREN ARE GOING TWICE

Cool goIITian

Joined: 12 Nov 2010
Posts: 73
10 Dec 2010 12:54:00 IST
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but the answer is 56 and i do not know how

Hot goIITian

Joined: 23 Sep 2010
Posts: 114
10 Dec 2010 17:49:04 IST
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quite simple he has to select 3children at a time.. so no. of ways to select 3 children of 8 children is 8C3 SO ANS IS 56.....

Cool goIITian

Joined: 12 Nov 2010
Posts: 73
11 Dec 2010 09:06:25 IST
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but as specified in the question can you elaborate it?He is not taking the same three children but can be one or two.

Cool goIITian

Joined: 3 Dec 2010
Posts: 61
11 Dec 2010 14:06:53 IST
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Use permutatiĆ¶n 8p2.

Hot goIITian

Joined: 23 Sep 2010
Posts: 114
17 Dec 2010 14:18:37 IST
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ya if we take permutation 8c3 it contains all possible combination of three children... so combination of three children is never repeated... but one or two children can be repeated in other combination.........

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