Question

Tara played softball,hockey and volleyball during her four years in college. She played no more than 2 sports a year and played each sport for at least 2 years. She never played softball and volleyball during the same year, never played volleyball and hockey together, and never played hockey during consecutive years.
what us the GREATEST number of years Tara could played hockey?
A.0
B.1
C.2
D.3
E.4

Answer 1

from my opinion this somehow related to venn diagrams
MAYBE

Answer 2

Okay then can you help me using a venn diagram or anything else u want

Answer 3

can you help me

Answer 4

Please Help Me

Answer 5

I just came back. Took a look at your problem, and I can help. Are you still there?

Answer 6

I have the solution, and more importantly, I can show you how to get it yourself, so just contact me if you want to revisit this question. Since you are not here, I'll move on.

Answer 7

Ok, you there?

Answer 8

Yes rite there I see you

Answer 9

ok. here goes.

Answer 10

So what do U I do

Answer 11

i FOUND YOU

Answer 12

First get a piece of paper and make 4 underlines next to each other like this: _ _ _ _.

Answer 13

okay got it

Answer 14

Those represent the years of freshman, sophomore, etc.

Answer 15

kay

Answer 16

Next, start with hockey (H). She doesn't play H in consecutive years, so filling in H, the picture will look like H _ H _ or H _ _ H or _ H _ H. It doesn't matter, they will all work the same. They are separated because of the restriction that "no consecutive" be followed.

Answer 17

kay i understand that

Answer 18

And you have to have 2 H's because she plays all sports in at least 2 years. So, one of those pictures will apply. And actually, you can do the problem with all the pictures.

Answer 19

okay but why dont you pick one
your the one helping me :)

Answer 20

Actually, one has to do the problems separately for all diagrams for the proof, but we'll just go with the first one because the other diagrams work the same way.

Answer 21

kay

Answer 22

wait if im not there maybe im busy
so just keep on riting i will be back

Answer 23

what happens next????:)

Answer 24

So now, she never plays V in the same year as H, so we have H V H V so far because she plays V in at least 2 years.

Answer 25

ya

Answer 26

then what

Answer 27

is that the anser

Answer 28

just curious

Answer 29

So now, she plays S in at least 2 years, but never more than 2 sports in the same year, so here we have lots of possibilities, but you don't have to go through all of them because we are logically finished.

Answer 30

yay
thanks for the anser
BIG HUGS
THANK YOU A MILLION TIMES
bYE!!!!!

Answer 31

For example, she could be doing something like HS V HS VS.

Answer 32

so the answer is 2

Answer 33

Softball doesn't matter. It's just there to try to confuse. So, answer is 2.

Answer 34

FUN! Nice working with you

Answer 35

thank you

Answer 36

Bye

Answer 37

have a great weekend