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Debora [2.8K]
1 year ago
7

a starting lineup in a basketball consists of two guards, two forwards, and a center. a. a certain college team has on its roste

r 4 centers, 5 guards, 5 forwards, and one individual (x) who can play either guard or forward. how many different starting lineups can be created? (hint: consider lineups without x, then lineups with x as guard, then lineups with x as foward.)
Mathematics
1 answer:
AURORKA [14]1 year ago
3 0

Different starting lineups can be created - 120+60+120=300. A certain college team has on its roster 4 centers, 5 guards, 5 forwards, and one individual (x) who can play either guard or forward.

1. A lineup without x is an example. You must decide.

  • 5 quards, 2 guards;
  • two of the three forwards;
  • from 4 centers, 1 center.

It can be made as -

2C5 × 2C3× 1C4 = 10× 3×4 = 120 ways

2. Consider starting lineups with guard x. You must decide.

  • 2 guards chosen from 6 quards (at least one of them must be x);
  • two of the three forwards;
  • from 4 centers, 1 center.

1C5×2C3×1C4 = 5×3×4 = 60 ways

3. Think about lineups where x is the forward. You must decide.

  • 5 quards, 2 guards;
  • 2 forwards from 4 forwards (x must be one of them);
  • from 4 centers, 1 center.

2C5×1C3×1C4 = 10×3×4 = 120 ways.

Therefore, total number different lineups is - 120+60+120=300.

To learn more about combinations from given link

brainly.com/question/8781187

#SPJ4

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Answer:

t=12\pi

Step-by-step explanation:

\dfrac{-t}{4}=-3\pi\\t=12\pi

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3 years ago
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EastWind [94]

Answer:

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8 0
2 years ago
Doug’s family buys 7 postcards while on vacation. Each postcard costs 0.25$ including tax. How can Doug use the number line to f
larisa [96]

Answer: Total cost is $1.75

Explanation:

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Total cost is given by

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Now, we want to show this in number line :

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3 0
3 years ago
Please help im really confused :(​
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Answer:

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2) plug in approximate value of 3.14 for π: 105 = (3.14) d

3) isolate to solve for d: 105/3.14 = d

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