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sweet-ann [11.9K]
2 years ago
9

There are 15 players on a volleyball team. Only 6 players can be on the court for a game. How many different groups of players o

f 6 players can the coach make, if the position does not matter?
Mathematics
1 answer:
stealth61 [152]2 years ago
8 0

There are 5005 different groups

<h3>How to determine the number of groups?</h3>

The given parameters are:

Players, n = 15

Selected, r = 6

The number of groups is then calculated as:

Group = ^{n}C_r

This gives

Group = ^{15}C_6

Apply the combination formula

Group = \frac{15!}{9!6!}

Evaluate the expression

Group = 5005

Hence, there are 5005 different groups

Read more about combination at:

brainly.com/question/11732255

#SPJ1

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  24.  see below for a drawing with axis intercepts labeled

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24. The axis intercepts are fairly easily found. You can do it a couple of ways.

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For 3x +5y +15z = 15, the x-intercept can be found by setting y and z to zero. This gives ...

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so, dividing by 3 tells you the x-intercept is ...

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Likewise, the y- and z-intercepts are, respectively, ...

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<u>second way</u>

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Please note that when a variable is missing, there is no intercept for that axis. That is, the plane is parallel to that axis. (In problem 30, for example, the y- and z-variables are missing. The plane x=4 is parallel to the y- and z-axes (the y-z plane).)

_____

In the first attached drawing, the x-axis is red, the y-axis is green, and the z-axis is blue. The labeling of the points is difficult to see, but the axes are a different (lighter) color behind the plane than in front of it. This plane forms a triangle in the first octant (x, y, z > 0).

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3-D graph paper (isometric graph paper) grids are available with a web search. Such might make it easier to draw the planes you need to draw. (See the third attachment for one example.)

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