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

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720

i think da answer is

d.square root of 3