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denis23 [38]
2 years ago
14

How many different ways can a coach select the captain and co-captain of a team from a group of 20 people?

Mathematics
2 answers:
sergij07 [2.7K]2 years ago
5 0
The coach can select the captain in 20 ways (i.e. from all the available 20 players), and he can select the co-captain in 19 ways (i.e. after selecting the captain, there will be 19 people left).
Therefore, the coach can select the captain and the co-captain in 20 x 19 = 380 ways.
Thepotemich [5.8K]2 years ago
3 0

Answer:

Step-by-step explanation:

1. Number of peoples available to choose from = 20

\text{Ways of selecting the captain from 20 people = }_{1}^{20}\textrm {C}=20

After selecting the captain number of people left among which co captain can be selected = 20 - 1 = 19

\text{Ways of selecting the co captain from 19 people = }_{1}^{19}\textrm {C}=19

Hence, Number of ways a coach select the captain and co-captain of a team from a group of 20 people = 20 × 19 = 380

Therefore, The correct option is C. 380

2. Total number of players = 7

Number of players to be selected = 5

\text{So, number of ways of selecting 5 players out of 7 = }_{5}^{7}\textrm {C}=21

Therefore, The correct option is A. 21

3. Total number of outcomes = 20

The digits 1, 2, 3, 4, 5, 6 represent the student who make a C

Number of students who make a C at least 3 times = 13

\bf\textbf{Required Probability = }\frac{13}{20}

Therefore, The correct option is D

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tekilochka [14]

Answer:

\frac{1}{20}

Step-by-step explanation:

First, we need to look at the # of chips. There are a total of 25, 6 of which are blue.

This means that the chance of getting the first blue chip would be \frac{6}{25}

As there is no replacement, the total number of chips is 24 and there are only 5 blue left. This gives us the chance of \frac{5}{24}

Now all we need to do is mulitply these two and then simplify

\frac{6}{25} *\frac{5}{24} =\frac{30}{600} =\frac{1}{20}

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2 years ago
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tensa zangetsu [6.8K]

The slope is the change in Y over the change in X.

Use the two blue dots on the graph :

(-1,0) ans (3,4)

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2 years ago
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Solve the following system of equations <br> x^2+2y^2=59<br> 2x^2+y^2=43
aivan3 [116]

Answer: x = (-3,3), y = (-5,5)

Step-by-step explanation:

Add both of the equations together, for 3x^{2}+3y^{2} = 102. Now we can divide both sides by 3, gettingx^2+y^2=34. we subtract the first equation from our equation we just got, getting y^2=25 y= (5,-5). once we plug that in, we get 50+x^2 = 59, x^2 = 9 x = (-3,3)

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The color distribution of Skittles is the following: 10% blue, orange, and green each, 23.3333% yellow, red, and purple each. In
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Answer:

No

Step-by-step explanation:

Given that:

Percentage of blue, orange and green = 10%

Percentage of yellow, red and purple = 23.3333%

Number of skittles in bag by color :

Red = 137

Orange = 39

Yellow = 130

Green = 39

Blue = 43

Purple = 112

According to the color distribution :

Number of blue, orange and green should be the same and also number of yellow, red and purple skittles must be the same.

Total number of skittles :

(137 + 39 + 130 + 39 + 43 + 112) = 500

10% of the total = 0.1 * 500 = 50

Hence,

We should have 50 blue, orange and green skittles

23.33333% of total = 116.666 (about 117 skittles of yellow, red and purple color)

3 0
2 years ago
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