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Harman [31]
3 years ago
10

Evaluate C (9, 3). 504 84 60,480 5,040

Mathematics
1 answer:
Temka [501]3 years ago
3 0

\displaystyle C(9,3) = {9 \choose 3} = \dfrac{9 \cdot 8 \cdot 7}{3 \cdot 2 \cdot 1} = 3(4)(7)=84

second choice

You might be interested in
Exponents with decimal and fractional base: Evaluate (0.5)2=
Leokris [45]

Answer: Your Answer is 1

Step-by-step explanation:  (0.5) (2)        Imagine your trying to get to the number 1      0.5 is half of one 0.5 x 2 = 1  Hope I helped!!!! (:

8 0
3 years ago
A computer programming team has 17 members. (a) How many ways can a group of nine be chosen to work on a project? As in Example
Natali5045456 [20]

The number of groups that can be chosen from the team of 17 depends on the given conditions of the selection.

The correct responses are;

(a) The number of ways of choosing groups of 9 from the 17 members are 24,310 ways.

(b) (i) The number of groups of 9 containing 5 women and 4 men are 8,820 groups.

(ii) The number of groups of 9 that contain at least one man is 24,309 groups.

(iii) The number of groups of 9 that contain at most 3 women are 2,649 groups.

(c) If two team members refuse to work together on projects, the number of groups of 9 that can be chosen are 17,875 groups.

(d) If two team members must work together or not at all the number of groups of 9 that can be chosen are 1,430 groups.

Given,

The combination of n objects taking r at a time is given as follows

ₙCr = (ⁿr)

(a) The number of ways of choosing groups of 9 from the 17 members is given as follows;

Number of ways of choosing groups of 9 = (17, 9)  = 24,310 ways.

(b) (i) Number of women = 9

Number of men = 8

Number of groups of 9 containing 5 women and 4 men = (9, 5) x (8, 4)

(9, 5) x (8, 4) = 126 x 70 = 8820

Number of groups of 9 containing 5 women and 4 men = 8,820 groups.

(ii) The number of groups that contain at least one man is (17, 9) - (9, 9)

(17, 9) - (9, 9) = 24,310 - 1 = 24,309

The number of groups that contain at least one man are 24,309 groups.

(iii) The number of groups of 9 that contain at most 3 women if given as follows;

(8, 8) × (9, 1) + (8, 7) × (9, 2) + (8, 6) × (9, 3) = 2649

The number of groups of 9 that contain at most 3 women are 2,649 groups.

(c) Given that two team members refuse to work together on projects, the number of groups of 9 that can be chosen are (15, 9) + 2 × (15, 8)

(15, 9) + 2 × (15, 8) = 5,005 + 2 × 6,435 = 17,875

(d) Two team members must work together or not at all is (15, 7) - (15, 9)

(15, 7) - (15, 9) = 6,435 - 5,005 = 1,430

The number of groups of 9 that can be chosen two team members must work together or not at all are 1,430 groups.

Learn more about number of ways here;

brainly.com/question/25310371

#SPJ4

7 0
1 year ago
EASY BRAINLIEST ANSWER ASAP!!
elena-14-01-66 [18.8K]

Answer:

  1. (0, 4)
  2. (-1, 16/ 3)
  3. (-9/ 2, 10)

Step-by-step explanation:

In an ordered pair the term before the comma is the x variable and the term after the comma is the y variable.

1.

4x + 3y = 12 . . . . . .(0, _)

here were given the x variable

finding the other term

4× 0 + 3y = 12

3y = 12

y = 4

therefore the ordered pair is <u>(0, 4) </u>

2.

. . . . . . . (-1, _)

here were given the x variable

4 × -1 + 3y = 12

3y = 12 + 4

3y = 16

y = 16/ 3

ordered pair is <u>(-1, 16/ 3)</u>

3.

. . . . . . . . (_, 10)

here were given the y variable

finding the other term

4x + 3 × 10 = 12

4x + 30 = 12

4x = 12 - 30

4x = -18

dividing both sides by 2

2x = -9

x = -9/ 2

ordered pair is<u> (-9/ 2, 10)</u>

4 0
2 years ago
-5(x - 1) greater than -40
sergey [27]

Answer:

x < 9  

Step-by-step explanation:

Writing this entirely with symbols, we get:

-5(x - 1) > -40

We must solve for x.  

Carrying out the multiplication, we get:

-5x + 5 > -40, or

-5x > -45

Dividing both sides by -5 isolates x:

x < 9  

Note that when working with an inequality such as this one, dividing both sides by a negative number requires changing the direction of the inequality symbol.

3 0
3 years ago
A school requires an entrance exam score that is in the top 3% of the population in order to be accepted. If an entrance exam ha
Troyanec [42]
The answer is letter C.) 603.40

The minimum required score can solved using the equation
<span>MRS = mean + (zscore)(SD)

where z score of 0.03 is 1.88

</span>MRS <span>= </span>500 + (1.88)(55)
MRS = <span>603.40

</span>

<span>Thank you for posting your question. I hope you found what you were after. Please feel free to ask me more.</span>

3 0
2 years ago
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