A football team consists of 20 offensive and 20 defensive players. The players are to be paired in groups of 2 for the purpose of determining roommates. If the pairing is done at random, (1) how many ways are there to divide the 40 players into unordered pairs of 2 each

780 ways

Step-by-step explanation:

We have a football team consisting of 20 offensive and 20 defensive players.

The total number of the team would be:

20 + 20 = 40

Now, we must choose pairs, that is, 2, people, therefore it would be the combinations of 2 of 40 (40C2)

nCr = n! / (r! * (n-r)!)  

replacing we have:

40C2 = 40! / (2! * (40-2)!) = 780

I mean there are a total of 780 ways

grab rope, tie a loop-de-loop, put it around ur neck, now jump while its tied to a high place. now your shoes are cool.

step-by-step explanation:

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: