Aswim meet has 13 contestants signed up for a 100 meter butterfly event. how many different ways can the top 6 contestants place

1235520

Step-by-step explanation:

Given : A swim meet has 13 contestants signed up for a 100 meter butterfly event.

To find the number of ways can the top 6 contestants place, we use permutations because order to place them matters here.

We know that the number of permutations of n things such that r things taken at time is given by :_

Then, the number of different ways can the top 6 contestants place out of 13 contestants will be:_

Hence, the number of different ways can the top 6 contestants place = 1235520

where is the triangle?

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!