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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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AysviL [449]

Answer:

30

Step-by-step explanation:

Substitute the given values for y and z into the expression

zy + 4y = (2 × 5) + (4 × 5) = 10 + 20 = 30

6 0
3 years ago
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What is the factored form of x12 y 18 +1?
Nitella [24]

Answer:

The required factored form of the given expression is

(x^4 y^6+1)(x^8 y^12-x^4 y^6+1) as the factored form.

5 0
3 years ago
When will these two lines intersect <br>C. y=-2x +3<br>y = x​
Andrej [43]

Answer:

The intersection point  of the given lines is  (1,1).

Step-by-step explanation:

Here, the given equations are:

y  =  - 2 x +  3

y  =  x​

Substitute y = x in  the first equation,

y   = -2 x  +  3 becomes      y =  -2 (y)  + 3

or, y + 2 y = 3

or, 3 y = 3  ⇒  y = 3/3 = 1

⇒  y =  1

Now, as x =  y ⇒ x =   1

Hence, the intersection points of the given lines is  (1,1).

8 0
3 years ago
MARKING BRAINLIEST TO FIRST PERSON WHO IS CORRECT!<br><br><br> I need help with #13
levacccp [35]

Answer:

True

False

False

Step-by-step explanation:

4 0
3 years ago
Which of the following terms correctly describes 4 : 1? A- Ratio B- Fraction C-Percent D- Factor
kvv77 [185]

Sabrehalrubeai,

In order to find the correct answer to this question we need to go over all of the options to see which one is the correct answer.

  • Ratio: 6 : 9 <---- Your answer....
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  • Percent: 35%
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Therefore your answer is option A "ratio."

Hope this helps!

6 0
3 years ago
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