Question

@ganeshie8 @amistre64 @tkhunny @dumbcow @satellite73
A basketball team consists of five players—
one centre, two forwards, and two guards.
The senior squad at Vennville Central
High School has two centres, six forwards,
and four guards.
a)How many ways can the coach pick the
two starting guards for a game?
b)How many different starting lineups are
possible if all team members play their
specified positions?
c) How many of these starting lineups
include Dana, the team’s 185-cm
centre? THE WHOLE QUESTION IS A PICTURE IN THE ANSWER SECTIONS Please check my answers

Answer 1

one sec thats not the whole question

Answer 2

a)\[C _{4}^{2}\]
?

Answer 3

I'll tell you what i got for the answer, and you can confirm if i got them right

Answer 4

a) 4C2=6
b) 2C1x6C2x4C2=180
c) I did indirect way, so i subtracted the # of possible line ups by the possible line up without the player and i got 90
d)It will not affect the line up because you still need to 2 forwards (not sure about this answer)
e) 1C1x5C2x6Cx=150, therefor yes the # of possible line ups are close to the # in part b.
f) 2C1x8C2x4C2=336, therefore no the same results are not achieved.

Answer 5

shouldn't b) be + instead of *?

Answer 6

no because you need 2 Centres and 2 Forwards and 2 Guards. And=multiply

Answer 7

oh,sorry,I thought and is +

Answer 8

my bad you need 1 Centre*

Answer 9

hm, c seems like alright, because you can choose 1 centre, which must be Dana, and since there are 180 lineups total, half of it has Dana and halfa of it doesnt

Answer 10

I am not sure about d @hartnn

Answer 11

Question d,e,f were a bit tricky for me

Answer 12

5 players, 2 guard positions; 5C2 seems more apt to me ... am i misreading it?

Answer 13

For which question?

Answer 14

the first one .. i dont know anything about basketball so theres information that i lack

Answer 15

you dont need to know about basketball, all you need to know is that to play Basketball you need 1 Centre, 2 Forwards and 2 Guards

Answer 16

The school has 2 centres, 6 Forwards, and 4 Guards.

Answer 17

so if guards play guard only 4c2 is the idea then right

Answer 18

yup

Answer 19

why does b specifiy their position, and a does not?

Answer 20

12 people 2 guards ... 12c2 if anyone can fill a spot

Answer 21

I dont know its just the how the question is lol

Answer 22

if 4c2 is fine then im fine with it :)

Answer 23

yup thats fine, my friends got the same answer for a,b,c. Im not so sure about d,e,f

Answer 24

if any forward can plkay any forward position then how does that change our selestions?

Answer 25

It does not change the selections right?

Answer 26

since we were doing a generality, and not specifics .. then a non specific setup remeains a generality

Answer 27

because you can have either 2 small forwards or 2 power forwards, or 1 small and 1 power forwards?

Answer 28

i see no chagne that it offers

Answer 29

we start with the assumption that we have 2 spots to fill, and anyone can fill them

if we change this to having 2 spots, and anyone can fill them ... then we have changed nothing but a name

Answer 30

If all the forward players can play any forward position then it wont change the selections

Answer 31

E is just throwing words around, some people are out of the line up so our population changes ... what is your assessment?

Answer 32

okay so the school has 2 centres, and 1 of them is gone, so only 1 is left. 1 of the forwards is gone so there are only 5 forwards left. 1 guard is down, so 3 guards are left, but all the forwards can play guards as well. but we have to deal with restrictions first. if we choose 2 forwards from 5. then only 3 forwards can also play the guards position.