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3 years ago

From a group of 8 people 5 will each win $1000.How many different winning groups are possible?

Mathematics

1 answer:

ra1l [238]3 years ago

4 0

Answer:

6720 ways different

Step-by-step explanation:

In this case, we must calculate the different ways using the permutation formula:

nPr = n! / (n - r)!

where n is the total number of people and r would come being the group of person that you want to put together the groups, therefore n = 8 and r = 5

replacing:

8P5 = 8! / (8 - 5)!

8P5 = 6720

That is to say that there are 6720 ways different winning groups are possible

You might be interested in

1. A number is chosen at random from 1 to 25. Find the probability of not selecting a prime number.

belka [17]

Prime numbers are 2,3,5,7,11,13,17,19,23 that's 9 of them the other 16 are not prime (1,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25)
so 16/25 or 64% is the probability of not getting a prime number

4 0

3 years ago

Katie Made a scale drawing of a restaurant in real life the restaurant kitchen is 12 m wide it is 36 mm wide in the drawing what

Alex73 [517]

Answer:

Scale : 1 mm = $\frac{1}{3}\ m$

Scale : 3 mm = 1 m

Step-by-step explanation:

Let the scale used be 1 mm = 'x' m

Given:

Actual width of kitchen is 12 m.

Length used by Kate in drawing is 36 mm.

So, 36 mm in drawing is equivalent to 12 m in actual.

Therefore, 1 mm in drawing is equivalent to 'x' m in actual.

Taking proportions and solving by cross multiplication, we get

$\frac{36}{12}=\frac{1}{x}\\36x=12\\x=\frac{12}{36}\\x=\frac{1}{3}\ m$

Therefore, 1 mm in drawing is equal to $\frac{1}{3}\ m$ in actual.

Scale : 1 mm = $\frac{1}{3}\ m$

Scale : 3 mm = 1 m

7 0

3 years ago

A mixed of purple paint contains 4 teaspoons of red paint and 10 teaspoons of blue paint.To make the same shade of purple paint

lina2011 [118]

Answer:

Number of teaspoon of red paint = 16

Step-by-step explanation:

Given:

Mixture contain = 4 teaspoon red paint and 10 teaspoons blue paint

New Mixture = 40 teaspoons blue paint

Find:

Number of teaspoon of red paint

Computation:

4 teaspoon red paint / 10 teaspoons blue paint = Number of teaspoon of red paint / 40 teaspoons blue paint

Number of teaspoon of red paint = 16

5 0

3 years ago

Peggy decided to sell brownies and cookies to raise

mario62 [17]

Answer:

Peggy sold 41 brownies.

Step-by-step explanation:

She sold three more brownies. 1 brownie cost $3.00, so 3 brownies cost $9.00 because 3×$3.00.

$218-$9 = $209

Figure out the cost of 1 cookie and 1 brownie: $3.00+$2.50=$5.50

$209÷$5.50=38

This means that Peggy sold 38 cookies.

Since she sold 3 more brownies than cookies, add 3 to 38.

3+38=41

So, Peggy sold 41 brownies.

5 0

3 years ago

Find the distance between the points (-3, -6) and (5,9).<br> Hint: Use the Pythagorean theorem.

Zinaida [17]

Answer:

The distance between the points (-3, -6) and (5, 9) is 15 units.

Step-by-step explanation:

Given the points

(-3, -6)

(5, 9)

First, we need to find the distance between the two x-coordinates. For this, we need to count the distance from 0 to another point. Then we just add them together.

i.e.

-3 to get to 0 takes 3 units

0 to 5 takes 5 units

3+5=8 units

Just do the same for y-coordinate

From -6 to 0 takes 6 units

0 to 9 takes 9 units

6+9 = 15 units

Therefore, we get the base and height.

Now using the Pythagoras' Theorem to find the distance:

c² = 8² + 15²

c² = 289

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$c=\sqrt{289},\:c=-\sqrt{289}$

$c=17,\:c=-17$

As the distance can not be negative.

c = 15 units

Thus, the distance between the points (-3, -6) and (5, 9) is 15 units.

4 0

3 years ago