Answer:
a) 286
b) 1,037,836,800
c) 285
Step-by-step explanation:
a) Since order is not important, the total possible number of ways to choose 10 players out of 13 is the following combination:
b) The total number of possibilities to assign positions by the selecting 10 players is the permutation of 13 players for 10 positions:
c) The number of ways to pick 10 players including at least one woman is equal to the total number of ways to pick 10 players (found in item a) minus the the number of ways to pick 10 players without picking a single woman.
Since there 10 male players for 10 positions, there is only one possible way to pick a team without women, therefore:
Check the picture below.
let's recall that the midsegment of a triangle is the segment that's half-way to both endsides and is at the same time parallel to the 3rd side, is also half the length of the parallel side, so-called the base.
so, for example, we know L, M and N are midpoints to each segment, that means that LM is a midsegment and parallel to PR and also half the length of PR, same is true for LN and MN.
If you want at least 3 pounds of hamburgers, then $6 is enough to buy those 3 pounds of hamburgers. If you ONLY buy 3 Pounds, then you also have enough for 4 pounds of chicken. $3 a pound x 4 = $12. You have 2 dollars left to spare, which means you can buy another pound of hamburgers. So 4 pounds each are able to be purchased.
I drew it out. Hope this helps.
Step-by-step explanation:
3x + 2y = 8
2y= -3x+8
y= -3/2x+4
so the answer is m= -
m=− 2
3
