The freshman class has 160 students. each freshman must write 3 reports from a list of 10 novels that the teacher has assigned them to read. how many different combinations of novels can a freshman student choose to write reports on? 30 120 480

Option B. 120

Step-by-step explanation:

The freshman class has students = 160

Total number of novels = 10

As, each freshman must write 3 reports , means selecting 3 novels out of 10 novels.

Here, order of choosing novels is not important.

So, we will apply rule of combinatorics here.

Selecting 3 novels out of 10 novels , is different combinations of novels that a freshman student  can choose to write reports on is given by

=

=

=

=

=

= 120

Option B 120 different combinations of novels can a freshman student choose to write reports.

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

idk

step-by-step explanation: