problem solving

jc.xd · September 11th, 2009, 12:46 AM

there are 30 students in a class. they sit a 15 double desks, each ine is for two students. half of the girls sit with boys. is it possible to make a rearrangement so that half of the boys sit with girls.

thnx a gazillion
jc.xd

PS: can you show working out/reason thnx

mathman · September 11th, 2009, 04:53 PM

Quote:

Originally Posted by jc.xd

there are 30 students in a class. they sit a 15 double desks, each ine is for two students. half of the girls sit with boys. is it possible to make a rearrangement so that half of the boys sit with girls.

thnx a gazillion
jc.xd

PS: can you show working out/reason thnx

It depends on the numbers of boys and girls.

Case 1: 14 girls and 16 boys. 8 boys sit with girls, 6 girls paired together, 8 boys paired together.
Case 2: 4 girls and 26 boys. There are not enough girls to pair off with 13 boys.

In other words there have to be at least 10 girls for boys to pair off, and at least 10 boys for girls to pair off.

September 11th, 2009, 12:46 AM	#1
jc.xd Newbie Joined: Aug 2009 Posts: 3 Thanks: 0	problem solving there are 30 students in a class. they sit a 15 double desks, each ine is for two students. half of the girls sit with boys. is it possible to make a rearrangement so that half of the boys sit with girls. thnx a gazillion jc.xd PS: can you show working out/reason thnx
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