MATHEMATICS COLLEGE

My soccer team has 16 players. I have to choose a starting lineup of a goalie and 10 regular players (the regular players are interchangeable). How many different starting lineups can i choose? the answer is not 4368

Answers

Answer 1

Answer:

Answer:

3003

Step-by-step explanation:

We want to find out how many ways we can choose 10 players among 15 players (since the goalie is not interchangeable)

The number of different lineups you can have can be found by using combination:

$^(15)C_(10) = (15!)/((15 - 10)! 10!)\n \n= (15!)/(5! * 10!) \n\n= 3003$

There are 3003 different lineups that can be chosen.

Answer 2

Answer:

Final answer:

To determine the number of starting lineups, we use combinations in probability. We first choose a goalie from 16 players, then 10 regular players from the remaining 15, giving us 48048 unique lineups.

Explanation:

This problem can be solved by using the concept of combinations in probability and statistics. The formula for combinations is C(n, k) = n! / [k!(n-k)!], where n is the total number of items, k is the number of items to choose, and ! denotes factorial, which is the product of all positive integers up to that number.

Firstly, we need to choose a goalie. There are 16 players, so the number of ways to choose a goalie is C(16, 1) = 16.

After choosing the goalie, we are left with 15 players. Then we need to choose 10 players to fill in the rest of the team. Thus, the number of ways to choose the 10 regular players is C(15, 10).

The total number of unique starting lineups is then the product of these two results. Hence, the solution would be C(16, 1) * C(15, 10) = 16 * 3003 = 48048 different starting lineups.

Learn more about Combinations here:

brainly.com/question/24703398

#SPJ3

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Ivanna drove 696 miles in 12 hours. At the same rate, how many miles would she drive in 7 hours?

Answers

Answer:

406

Step-by-step explanation:

We need to find the unit rate or how many miles can they drive in 1 hour. So we do 696/12 which is 58. So we have 58 miles in 1 hour. Now we multiply the number of desired hours, 7 and multiply it by 696. Which is 406

If a recent survey shows that of the 600 parrot owners surveyed, 200 successfully trained their birds to say words, then out of a population of 1,500, people have trained their birds

Answers

Hello!

You first have to find the percentage of the tested group that trained their birds

200 / 600 = 0.333...

Multiply this by the amount of people

200/ 600 * 1500 = 500

The answer is 500 people

Hope this helps!

5 (8 4) = (5 × 8) + (5 × 4)

Answers

Answer: it think its 60

Step-by-step explanation:

Answer:...

Step-by-step explanation:

Plz help i dont understand and if u can help i will mark brainliest!!

Answers

Answer:

Let fertilizer be F

and peat moss be P

since F is proportional to P

F = kP

where, k = constant of proportionality

k = F/P

putting in the values,

k = (3/4) /12

k = 3/4 * 1/12

k = 1/16

Therefore the constant of proportionality is 1/16.

How much is 13 part of 6,918?

Answers

The answer should be 0.19%

Judging on the basis of experience, a politician claims that 57% of voters in a certain area have voted for an independent candidate in past elections. Suppose you surveyed 25 randomly selected people in that area, and 18 of them reported having voted for an independent candidate. The null hypothesis is that the overall proportion of voters in the area that have voted for an independent candidate is 57%. What value of the test statistic should you report?