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xxTIMURxx [149]
3 years ago
6

How many different ways can the students at a school select the president, vice president and secretary from a group of 5?

Mathematics
2 answers:
ollegr [7]3 years ago
8 0

 

P(5,3) .... or 5P3 if your textbook likes it that way ... = (5)(4)(3) = 60 ways.  

If you don't know about the permutation counting function, P(n,k) is the number of ways to pick k out of n different items, where order matters.  

P(n,k) = n(n-1)(n-2)...(n+1-k)  

It's easier to write with factorials, with P(n,k) = n!/k!, but the above is easier to compute most of the time.  

Without that, you can still solve with common sense. There are 5 ways to pick the president. For each of those, there are 4 choices left for vice president, and for each of those there are 3 choices left for secretary. 5*4*3 =

60 total

sattari [20]3 years ago
4 0
Answer: 60 ways.
Explanation: Suppose that we had 5 people, A, B, C, D, and E, and we had to select a P, VP, and S.

For the President, we have 5 different selections.
If we choose a president, then we can only pick 1 from 4 people for the VP.
Using the same logic, we'd have 3 different choices for the S.

Hence, we have 5 · 4 · 3 different ways.

Alternatively, this is:

\frac{5!}{(5 - 3)!} = ^{5}P_3 different ways.
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At the movie theater child admission is 6000 and $.30 an adult mission is $9.60 on Wednesday 172 tickets were sold for a total s
jasenka [17]

Answer:

The number of child tickets sold was 75 and the number of adult tickets sold was 97

Step-by-step explanation:

<u><em>The correct question is</em></u>

At the movie theater child admission is $6.30 an adult admission is $9.60 on Wednesday 172 tickets were sold for a total sales of $1403.70 How many child tickets and adult tickets were sold that day?

Let

x ----> number of child tickets sold

y ----> number of adult tickets sold

we know that

x+y=172 ----> equation A

6.30x+9.60y=1,403.70 -----> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both lines

Using a graphing tool

The intersection point is (75,97)

see the attached figure

therefore

The number of child tickets sold was 75 and the number of adult tickets sold was 97

8 0
3 years ago
hailey wanted to fill her circular pool with water for the summer how much water does she need to fill her pool that is 6 feet d
Setler [38]
The circle area times the depth gives the volume of a cylinder.

Radius is half diameter = 25 ft

Area circle = π(25)²
= 625π

multiply by depth to find volume.
= 625π(6)
= 11,781

I'd say C. is the closest. I don't round numbers until the end so if you round π to 3.14 it's probably the same

4 0
3 years ago
Quadrilateral ABCD is inscribed in this circle. What is the measure of angle C?
dlinn [17]
Hope it would help!!!

6 0
3 years ago
Student Debt – Vermont: The average student loan debt of a U.S. college student at the end of 4 years of college is estimated to
mezya [45]

Answer:

The confidence interval is (24116.3878,24883.6122).

Step-by-step explanation:

We are given the following information in the question:

Population mean, \mu = $23,500

Sample mean,\bar{x} = $24,500

Sample standard deviation,s = $2,800

Sample size, n =  146

Confidence interval:

\bar{x} \pm t_{critical}\frac{s}{\sqrt{n}}  

Putting the values, we get,

t_{critical}\text{ at}~\alpha_{0.05} = \pm 1.655436

24500 \pm 1.65543(\frac{2800}{\sqrt{146}} ) = 24500 \pm 383.6122 = (24116.3878,24883.6122)

The confidence interval is (24116.3878,24883.6122).

5 0
2 years ago
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 75 miles per
Alisiya [41]

Let the time = x

Distance = Speed x time

One train is 75x, the other train 85x

Add together to equal total distance:

75x + 85x = 384

Simplify:

160x = 384

Divide both sides by 160:

x = 384 / 160

x = 2.4 hours

8 0
2 years ago
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