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Bad White [126]
2 years ago
13

Suppose we want to choose colors, without replacement, from the colors red, blue, green, and purple.

Mathematics
1 answer:
DerKrebs [107]2 years ago
4 0

The number of ways when the choice is not relevant is 4

<h3>How to determine the number of ways?</h3>

The number of colors are:

Colors, n = 4

The color to choose are:

r = 3

<u>Relevant choice</u>

When the choice is relevant, we have:

Ways = ^nP_r

This gives

Ways = ^4P_3

Evaluate

Ways = 24

Hence, the number of ways when the choice is relevant is 24

<u>Not relevant choice</u>

When the choice is not relevant, we have:

Ways = ^nC_r

This gives

Ways = ^4C_3

Evaluate

Ways = 4

Hence, the number of ways when the choice is not relevant is 4

Read more about combination at:

brainly.com/question/11732255

#SPJ1

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Someone can help me for all the question ?
Dvinal [7]

Answer:

1. 5

2. 3 adult tickets; 2 child tickets

3. See below

Step-by-step explanation:

1.

2 adult tickets cost 2 × $12 = $24

Subtract $24 from $64:

$64 - $24 = $40

Divide $40 by $8:

$40 ÷ $8 = 5

Answer: 5 child tickets

2.

x = number of adult tickets

y = number of child tickets

The total number of tickets is 5, so the first equation is:

x + y = 5

The cost of x adult tickets is 12x. The cost of y child tickets is 8y. The total cost is 12x + 8y. We are told the total cost is $52. The second equation is:

12x + 8y = 52

The system of equation is:

x + y = 5

12x + 8y = 52

Let's solve it by substitution.

Solve the first equation for x.

x = 5 - y

Now we substitute x in the second equation by 5 - y.

12(5 - y) + 8y = 52

Distribute:

60 - 12y + 8y = 52

Combine like terms on the left side:

-4y + 60 = 52

Subtract 60 from both sides:

-4y = -8

Divide both sides by 4.

y = 2

Substitute y = 2 in the first original equation and solve for x.

x + y = 5

x + 2 = 5

x = 3

Answer: 3 adult tickets; 2 child tickets

3.

The customer's claim is incorrect. His sum is $71. 71 is an odd number. Since all ticket prices are even numbers, it is impossible to add only even numbers and get an odd sum. A sum of several amounts of 12 and several amounts of 8 can never equal 71.

We can also show his claim is false using a system of equations.

x + y = 7

12x + 8y = 71

Use substitution.

x = 7 - y

12(7 - y) + 8y = 71

84 - 12y + 8y = 71

84 - 4y = 71

-4y = -13

y = 3.25

This means 3.25 child tickets. The problem states that tickets can be purchased only in whole numbers, so 3.25 tickets cannot be purchased, so the customer's claim is false.

4 0
2 years ago
Chad likes to play Bingo at the nearby American Legion Hall. One day he goes into the hall with $14 in his pocket. When he comes
Natalija [7]

Answer:

1. $17

2.$2

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Joe bought a box of laundry detergent that contains 195 scoops each load of laundry uses 2 1/2 scoops how many loads of laundry
Ann [662]

Answer:

Hope this helps

Step-by-step explanation:

5 0
3 years ago
If a diagram is unmarked, can you assume...
Rudik [331]
Both pairs of vertical angles<span> (four </span>angles<span> altogether) always sum to a full </span>angle<span>(360°). In the figure above, </span>an angle<span> from each pair of </span>vertical angles<span> are adjacent</span>angles<span> and are </span>supplementary<span> (add to 180°). For example, in the figure above, m∠JQL + m∠LQK = 180°.</span>
5 0
3 years ago
Read 2 more answers
A cooking magazine shows a photo of a main dish on the front cover of 5 out of the 12 issues it publishes each year. Write and s
Shtirlitz [24]
Ok so the ratio is ... 5/12 (every 5 months out of 12 in on year, the main dish is on the cover)

All you have to do is multiply the top # and bottom # in the fraction by 5.

5*5 = 25
5*12 = 60

In 5 years, there are 60 months. During that time, a main dish will be on the cover 25 times.


5 0
3 years ago
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