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nevsk [136]
3 years ago
12

Professor Jones has to select 6 students out of his English class randomly to participate in a regional contest. There are 36 st

udents in the class. Is this a PERMUTATION or a COMBINATION problem? How many ways can Prof. Jones choose his students?
Mathematics
1 answer:
Anna11 [10]3 years ago
4 0

Answer: This is a combination.

There are 1947792 ways to choose his students.

Step-by-step explanation:

Since we have given that

Number of students in a class = 36

Number of students selected for his English class = 6

We would use "Combination" .

As permutation is used when there is an arrangement.

whereas Combination is used when we have select r from group of n.

So, Number of ways that Prof. Jones can choose his students is given by

^{36}C_6=1947792

Hence, there are 1947792 ways to choose his students.

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A bowling alley and a skating rink both offer birthday party rentals. The bowling alley costs $5 per person plus a $15 room rent
kodGreya [7K]

Answer:

1. 50 = 5x+15

2. 50 = 3x+20

3. 7

4. 10

5. Skating Rink

Step-by-step explanation:

1. As the maximum amount of money is 50 dollars, you are given that there is a 5 dollar entry *per* person, alongside the 15 room rental fee added on. That is where the equation 5x+15 = 50 comes from

2. The same can be said with the skating rink, with different numbers. 3 *per* person plus the extra 20 room rental fee.

3. 50 = 5x+15 can be solved by subtracting 15 by both sides. This gives us 35=5x and dividing by 5 will give us 7 = x

4. 50 = 3x+20 can be solved by subtracting 20 by both sides. This gives us 30=3x and dividing by 3 will give us 10 = x

5. As 10>7, it's apparent that you can bring more people to the Skating Rink

5 0
3 years ago
Read 2 more answers
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timofeeve [1]
I think it would be a im not sure
3 0
3 years ago
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Hot dogs are soo in packages of 8 and hot dog buns are sold in packages of 12. What is the smallest number of each that could be
ale4655 [162]
D 24

12 times 2 equals 24
8 times 3 equals 24
4 0
3 years ago
The length of a rectangle is 3cm greater than its width. the perimeter is 24cm. what are the dimensions of the rectangle
Anit [1.1K]

We need to make an equation. The equation used to find perimeter is 2L+2W=A

We know that the area is 24 cm. We also know that the length is 3 cm more than its width: L=3+W; let's plug that equation in for L.

2(3+W)+2W=24; let's simplify the parenthesis. 6+2w+2w=24 6+4w=24; subtract 6 from both sides. 4w=18; divide both sides by 4. W=4.5

Let's find the length if the width is 4.5.

4.5+3=7.5; So, the length is 7.5 and the width is 4.5. Let's check. 2(7.5)+2(4.5)=15+9=24

So, the length is 7.5 and the width is 4.5.

7 0
4 years ago
Wich method can you use yo decide wich of several integers has the greatest value?
serg [7]

Answer:

C

The integer with the greatest value is the one that is farthest to the right hand side of the number line

Step-by-step explanation:

The number line is constructed in a way such that we have a center point of zero with positive values to the right of the number line and negative values to the left of the number line.

Moving deeper right, we have an increase in positivity, with the more positive values rightwards, indicating an increase in the numbers to the right

Moving to the left, we have an increase in negativity, but a decrease in value. The negative numbers closer to zero are more positive and command higher values than the values which are farther from zero.

What these indicates is that the more rightward a number, the greater its value

4 0
3 years ago
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