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Varvara68 [4.7K]
3 years ago
8

There are 20 players on a soccer team. From them, a captain and an alternate captain have to be chosen. How many possibilities a

re there?
Mathematics
1 answer:
tester [92]3 years ago
3 0

Answer:

190 possibilities.

Step-by-step explanation:

The problem is called 20 choose 2, given by the formula for combinations

C(20,2) = 20! / (2! (20-2)!) = 190

alternatively, we can reason it this way:

there are 20 choices to choose a captain and 19 choices for an alternate captain for a total of 380 ways.

However, there are 20 choices to choose an alternate captain and 19 choices for a captain for a total of 380 ways.

Since we are essentially double counting every choice of the posts, we need to divide 380 by 2 to get 190 ways.

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Answer:

D

Step-by-step explanation:

If a function has x in the denominator, it cannot be a polynomial.

The rest of the options either don't apply to the equation, or are not rules for polynomials.

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3 years ago
7x²=28 I'm not sure about how to do thus problem
OverLord2011 [107]
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<em>-Have a nice day</em>

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6 0
3 years ago
Read 2 more answers
Sandy bought a soft drink for 2 dollars and 5 candy bars. She spent a total of $12. How much did each candy bar cost?
Roman55 [17]

Answer:

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6 0
2 years ago
Arthur weighs 34 lb more than Lily. Their combined weight is 180 lbs less than four times Lily's weight. How much does Arthur we
mote1985 [20]
X = Lilys weight
x + 34 = Arthurs weight
4x - 180 = combined weight

x + x + 34 = 4x = 180
2x + 34 = 4x - 180
-2x           -2x
_________________
        34 = 2x -180
     +180        + 180
_______________
       214 = 2x
        107  = x  which is Lily's weight
         141 = x + 34 which is Arthur's weight
The total weight is 248

which is the answer that you get when you do 4(107) = 180 or
428 -180 = 248

5 0
3 years ago
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