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2 years ago

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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VLD [36.1K]

Answer:

8.4 * 10^6

Step-by-step explanation:

8.4 * 10^6

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3 years ago

Which number is irrational? A: √9 B: √8 C: 0.3333 D: 2/3 Answer fast please

Arisa [49]

$\sqrt{8}$ is an irrational number ⇒ answer B

Step-by-step explanation:

Let us explain the meaning of:

A rational number is a number that can be written as a fraction
An irrational number is a number that cannot be expressed as a fraction

Examples:

Rational numbers : 10 , $\frac{2}{5}$ , 0.333

Irrational numbers : π , √8 , ∛25 , (2 + √5) , $\frac{\sqrt{7}}{3}$

∵ $\sqrt{9}=3$

∵ 3 is a rational number

∴ $\sqrt{9}$ is a rational number

∵ $\sqrt{8}$

∵ There is no square root of 8

∴ $\sqrt{8}$ is an irrational number

∵ 0.3333 can be expressed as $\frac{3333}{10000}$

∴ 0.3333 is a rational number

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∵ All fractions are rational numbers

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Learn more:

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3 years ago

Liz earns a salary of $2,200 per month, plus a commission of 6% of her sales. she wants to earn at least $2,900 this month. ente

nlexa [21]

2200 + 0.06s > = 2900.....with s representing her total sales
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3 years ago

Julio is paid 1.4 times his normal hourly rate for each hour he works over 30 hours in a week. Last week he worked 35 hours and

Harman [31]

Julio is paid 1.4 times his normal hourly rate for every excess hour he works in a week.
last week he worked 35 hours and got 436.60 dollars.
We need to find an equation so we can be able to solve Julio’s earnings:
=> Let X be the value of Julio’s rate
=> 30 * X + 5 x 1.4x = 436.6
=> 30x + 7x = 436.6
=> 37x = 436.6
=> 37x / 37 = 436.6 / 37
=> x = 11.8
Thus the original rate of Julio is 11.8 dollars
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3 years ago

Pythagorean Theorem with Known Legs

IgorC [24]

Answer:

$\sqrt{170} = c$

Step-by-step explanation:

We are trying to find the hypotenuse of a right triangle

We will use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

11^2 + 7^2 = c^2

121 + 49 = c^2

170 = c^2

Taking the square root of each side

$\sqrt{170} = c$

5 0

1 year ago

Read 2 more answers