20. There are 15 members of the show choir. In how many ways can you arrange 4 members in the front row when order does not matter?
Answers
For each of those ...
The second chair can be any one of the remaining 14.
For each of those ...
The third chair can be any one of the remaining 13.
For each of those ...
The fourth chair can be any one of the remaining 12.
Number of ways to fill the 4 chairs = (15 x 14 x 13 x 12) = 32,760 .
But ...
Each set of 4 people can be seated in (4 x 3 x 2 x 1) = 24 orders.
So each group of 4 people is represented 24 times among the 32,760.
If the order doesn't matter, you're really asking how many different
groups of 4 people can occupy the front row.
That's (32,760) / (24) = 1,365 sets of 4 members, in any order.
John, Kathy, Alex, Mia
John, Alex, Kathy, Mia
John, Alex, Mia, Kathy
John, Mia, Alex, Kathy
John, Mia, Kathy, Alex
Alex, John, Kathy, Mia
Alex, John, Mia, Kathy
There are many more, but my guess would be 16 combinations. Test for yourself if you don't think thats right!
Related Questions
Please help me with this problem :))
Which measurement is equivalent to 987 mL?9.87 L 9,870 L 0.987 L 98.7 L
The ratio of men to women on a train was 5:8 there was 200 men-A- how many women were on the train B- how many people were on the train all together
Your engineering firm in Tampa is subcontracting a job through a telecommunication company headquartered in Daytona Beach (175 miles away). You and your boss have scheduled to meet in person. You left your office later than planned. To meet on time, you have decided to increase your speed. Your average is 4 mph faster than your boss's time. You meet after 1.25 hours. Create a system of equations and determine your average speed.
Answers
Answer:
13/50
Step-by-step explanation:
Answers
The power is a minus as the decimal point had to move right.
Hope that helps you!
Answers
Answer:
its closer to 0.5
Step-by-step explanation:
if you change 1/3 to a decimal its going to be 0.333333
0.33333 is closer to 0.5
Answer:
0
Step-by-step explanation:
1/3 is 1 part of 3.
0.5 is half of 1.
1/3 is closer to 0.
Choose exactly two answers that are correct.
A.
Triangle RST was reflected across the x-axis and then rotated 90° clockwise around the origin.
B.
Triangle RST was reflected across the x-axis and then reflected across the y-axis.
C.
Triangle RST was rotated counterclockwise 90° around the origin and then reflected across the x-axis.
D.
Triangle RST was translated 8 units right and then reflected across the x-axis.
Answers
Answers
Answer: 8m+25 ≤ 65
Step-by-step explanation:
Hi, to answer this question we have to write an inequality with the information given:
The product of the number of movie tickets he will buy per month (m) and the price of each ticket (8) plus the already spent money (25) must be less or equal to his savings (65).
Mathematically speaking:
8m+25 ≤ 65
Feel free to ask for more if needed or if you did not understand something.
Line
4
has a steeper slope.
Line A
N
Line B
X
-6
4
-2.
2
4
6
-2
4
-6
Answers
Line B has a slope of 4/2
The answer is Line B
Final answer:
The steeper line is determined by comparing the slopes of the two lines. The line with the larger slope value is the steeper line. However, the actual slopes of Line A and Line B in the question are not provided.
Explanation:
From the question, it seems like there are two given lines - Line A and Line B but no specific data is provided about their slopes. Therefore, with the information given, we can't determine which line has the steeper slope. Essentially, the steeper line would be the one with the higher slope value when represented in the form: y = mx + c, where 'm' is the slope. For instance, if Line A had an equation of y = 2x +1 and Line B an equation of y = 4x + 1, Line B's slope is steeper because it has a larger 'm' value compared to Line A.
Learn more about Steeper Slope here:
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