1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zalisa [80]
3 years ago
14

A swim team must be chosen from 12 candidates. What is the greatest number of different 3-person teams that can be chosen?

Mathematics
2 answers:
grin007 [14]3 years ago
8 0
<h3>Answer: 220 combinations</h3>

==========================================

Explanation:

We have 12*11*10 = 1320 permutations possible. This is where order matters. However, order does not matter with swim teams as there are no positions or ranks. All that matters is the group overall (rather than any individual in the group).

Consider the set {A,B,C}. We have 3*2*1 = 6 ways to arrange this set of letters. When considering a permutation, there are 6 permutations but only 1 combination since order doesnt matter and ABC is the same as BAC. Therefore, we divide 1320 over 6 to get the final answer of 1320/6 = 220.

---------

You can use the combination formula with n = 12 and r = 3. Doing so will give the following:

_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{12} C _3 = \frac{12!}{3!*(12-3)!}\\\\_{12} C _3 = \frac{12!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10*9!}{3!*9!}\\\\_{12} C _3 = \frac{12*11*10}{3!}\\\\_{12} C _3 = \frac{12*11*10}{3*2*1}\\\\_{12} C _3 = \frac{1320}{6}\\\\_{12} C _3 = 220\\\\

As you can see, we get the same result and note how 1320/6 is also present as well.

navik [9.2K]3 years ago
7 0
It should be the 220 combinations
You might be interested in
Hi.
NeX [460]

Answer:

(a)

1 sig: 0.005

2 sig: 0.0048

3 sig: 0.00482

(b)

1 sig: 50

2 sig: 50.

3 sig: 50.0

(c)

1 sig: 0.0010

2 sig: 0.00098

3 sig: 0.000981

Step-by-step explanation:

Significant Figures Rules:

  1. Any non-zero digit is significant.
  2. Any trailing zeros after the decimal is significant.
  3. Any zeros between 2 significant digits are significant.
  4. Zeroes before significant numbers in the decimal place are NOT significant; they are placeholders.

(a)

0.004816 - the zeros are placeholders, so they do not count as sig figs.

(b)

50.00168 - the zeros are between 2 significant figures, so they do count as sig figs.

(c)

0.0009812 - the zeros are placeholders, so they do not count as sig figs

5 0
3 years ago
A 35-year-old G3P3 woman requests contraception. Her youngest child is seven years old. Her periods have been regular since she
Olin [163]

Answer:

E. Deep venous thrombosis

Step-by-step explanation:

According to a different source, these are the options that come with this question:

A. Depression

B. Smoking history

C. Severe nausea on combined oral contraceptives

D. Lactation history

E. Deep venous thrombosis

This woman would be a good candidate for the progestin-only pill because of her deep venous thrombosis, as contraindications to estrogen include a history of thromboembolic disease. Other contraindications include women who are lactating, women over 35 who smoke or women that have experienced severe nausea when using combined pills.

8 0
3 years ago
Use distributive property to remove the parentheses. Simplify your answer as much as possible please.
slavikrds [6]

Answer:

  28y^3 -35y^5

Step-by-step explanation:

  = 7y^3(4) -7y^3(5y^2)

  = 28y^3 -35y^5

_____

The applicable rule of exponents is ...

  (y^a)(y^b) = y^(a+b)

7 0
2 years ago
Sandra deposited $2,500 into a simple interest account.
MakcuM [25]

Answer:

240$

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

Sandra

t = 1 year

I= $75

P= $2,500

r= ?

substitute in the formula above

75=2,500 (r(1))

solve for r

r=75/2,500)

r= 0.03

Convert to percentage form

r= 0.03 * 100 = 3%

Ron

t=1 year

I = ?

P= 8,000

r= 0.03

substitute in the formula of interest

I = 8,000(0.03 *1)

I = $240

8 0
3 years ago
Divide 2 over 3 ÷ 1 over 6 = ____. Numerical Answers Expected! Answer for Blank 1:
Anna [14]

Answer: the answer is 4

Step-by-step explanation:

2/3 / 1/6

change the places of 1/6 to 6/1

2/3 / 6/1

the division sign changes to multiplication

2/3 * 6/1

cancel out the 3 and 6 to give

2/1 *  2/1

=4

5 0
2 years ago
Other questions:
  • Which is the constant term of the algebraic expression -2x^2+17-15x+7xy?
    5·1 answer
  • HALP PLZZZ. First to respond gets something
    12·2 answers
  • Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to sta
    6·1 answer
  • A company is planning a four-year project, with an initial cost of $1.67 million. This investment cost is amortised to zero over
    7·1 answer
  • PLEASE HELP WILL GIVE BRAINLIEST!!!
    14·1 answer
  • A group of random people were polled about whether they prefer to communicate using text messages or by phone calls. The results
    14·1 answer
  • Paula buys a machine for $6600, which includes a sales tax of 20 per cent. Without sales tax, the price is? plse i need help
    13·1 answer
  • Help me please this is a test and I don’t want to fail
    11·1 answer
  • n automobile manufacturer claims that its van has a 37.4 miles/gallon (MPG) rating. An independent testing firm has been contrac
    13·1 answer
  • What is the slope of the line that contains these points?<br><br>Slope:
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!