A university has three table tennis scholarships each worth $1000. How many ways are there to award these after they've narrowed the candidates to 6 ping pong players?
Blank 1:

1. In the presence of restrictions; A player cannot win more than one scholarship;

The number of ways is 120 ways

2. In the absence of restrictions; A player can win more than 1:

The number of ways is 216 ways

Step-by-step explanation:

Here, to award the scholarships, the restrictions we might have is that a student cannot win more than 1 scholarship

Given this restriction;

The first scholarship has 6 possible contenders

The second has 5

The third has 4

So, the number of possible ways is;

6 * 5 * 4 = 120 ways

In the absence of no restrictions where a student can win any number of scholarships;

We have the 3 scholarships being awarded in 6 possible ways

So the total number of ways will be;

6 * 6 * 6 = 216 ways

the correct answer is b. negative exponential growth.

step-by-step explanation:

you can tell it's an exponential function because it decreases rapidly then levels out and never touches the x-axis.

it is negative because the y-axis decreases as the x-axis increases.

therefore it is a negative exponential growth graph.

hope i !

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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