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desiguy
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Mike and four friends go to a Knicks game. How many ways can 10 Dec 2005, 20:41
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Mike and four friends go to a Knicks game. How many ways can they sit together so that Mike always sits between two friends?

6
24
48
72
120

Please show all workings. :)



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Mike and four friends go to a Knicks game. How many ways can 10 Dec 2005, 22:12
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4 friends can sit in 4! = 24 ways
mike can pick any of 3 position between two friends

total arrangements: 3 * 24 = 72
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ywilfred
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Mike and four friends go to a Knicks game. How many ways can 10 Dec 2005, 22:44
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Assuming the seat are: 1,2,3,4,5

Mike cannot take seat 1 and 5, since he will not be between 2 friends.

He can occupy 2,3 or 4. For each seat, say seat 2, there are 4! ways to arrange his friends.

Soln: 3 * 4!= 72 arrangements. (Note: 4! is permutation)

And i hope larry brown starts finding a winning starting 5 !! :wink:
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Mike and four friends go to a Knicks game. How many ways can 10 Dec 2005, 23:27
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duttsit
4 friends can sit in 4! = 24 ways
mike can pick any of 3 position between two friends
total arrangements: 3 * 24 = 72
Show more

what this "between two friends" means? i thought mike's position as under.

A.B.mike.C.D.

Mike always maintaines this position.
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GMATT73
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Mike and four friends go to a Knicks game. How many ways can 11 Dec 2005, 00:06
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Mike can`t sit on any of the outer seats.

_ _ _ _ _

Mike is X so;

_X_ _ _

or

_ _ X _ _

or

_ _ _ X_

Four friends can sit 4! ways= 24
Mike can choose any one of 3 ways, so 3*24=72

(D)
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Mike and four friends go to a Knicks game. How many ways can 11 Dec 2005, 00:26
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HIMALAYA
duttsit
4 friends can sit in 4! = 24 ways
mike can pick any of 3 position between two friends
total arrangements: 3 * 24 = 72
what this "between two friends" means? i thought mike's position as under.

A.B.mike.C.D.

Mike always maintaines this position.
Show more

between two friends, here indicates that he is always embedded by two frields(cannot be sitting at the corners)

as matt shown, there can be 3 such positions.
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Mike and four friends go to a Knicks game. How many ways can 11 Dec 2005, 05:07
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desiguy
Mike and four friends go to a Knicks game. How many ways can they sit together so that Mike always sits between two friends?

6
24
48
72
120

Please show all workings. :)
Show more
All possible ways 5!=120
The cases when Mike is not between two of his friends
Mike __ __ __ __ 4!=24
__ __ __ __ Mike 4!=24
Hence The cases when Mike is sitting between two friends is 120-24-24=72
My vote for D
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Mike and four friends go to a Knicks game. How many ways can 11 Dec 2005, 09:06
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duttsit
HIMALAYA
duttsit
4 friends can sit in 4! = 24 ways
mike can pick any of 3 position between two friends
total arrangements: 3 * 24 = 72
what this "between two friends" means? i thought mike's position as under.

A.B.mike.C.D.

Mike always maintaines this position.
between two friends, here indicates that he is always embedded by two frields(cannot be sitting at the corners)

as matt shown, there can be 3 such positions.
Show more

dutt,
your music is beautiful but i could not differentiate it whether it from gitar or ektara? :wink:
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desiguy
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Mike and four friends go to a Knicks game. How many ways can 11 Dec 2005, 09:40
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Good discussion. D is the answer



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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