1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
atroni [7]
3 years ago
6

How many 5-member chess teams can be chosen from 15 interested players? Consider only the members selected, not their board posi

tions. 3,003 120 360,360
Mathematics
1 answer:
ryzh [129]3 years ago
7 0

<u>Answer</u>:

3003 number of 5-member chess teams can be chosen from 15 interested players.

<u>Step-by-step explanation:</u>

Given:

Number of the interested players =  15

To Find:

Number of 5-member chess teams that can be chosen = ?

Solution:

Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter. To calculate combinations, we will use the formulanCr = \frac{n!}{r!(n - r)!}

where

n represents the total number of items,

r represents the number of items being chosen at a time.

Now  we have n = 15 and r = 5

Substituting the values,

15C_5 = \frac{15!}{5!(15- 5)!}

15C_5 = \frac{15!}{5!(10)!}

15C_5 = \frac{15!}{5!(10)!}

15C_5 = \frac{15\times \times 14 \times 13 \times 12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 }{5 \times 4 \times 3 \times 2 \times 1(10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1)}

15C_5 = \frac{15\times \times 14 \times 13 \times 12 \times 11}{(5 \times 4 \times 3 \times 2 \times 1)}

15C_5 = \frac{360360}{120}

15C_5 = 3003

You might be interested in
A tractor was purchased for $30,000 six years ago. what is the value of the tractor today if the depreciation rate was 2.5%?
MrRissso [65]
Initial cost = $30,000
Depreciation rate = 2.5%

Depreciation expense per year = 30,000*2.5/100 = $750
In six years,
Depreciation = 6*750 = $4,500

Value of the tractor = Initial cost - Depreciation = $30,000 - $4,500 = $25,500
6 0
3 years ago
Help me please ASAP ......
Dvinal [7]
4. 3(y + 4y) this is distributive property!  Hope it helps. Btw can you please check out a question on my page? thanks!! <span />
5 0
3 years ago
Calculate the factorization 16w^2+48w+36=(4w+[1])^2
stiv31 [10]

Answer:

  [1] = 6

  x = -3/2 is the root

Step-by-step explanation:

A perfect square trinomial is of the form ...

  (a + b)² = a² +2ab +b²

You have ...

  • a²=16w²   ⇒   a = 4w
  • b² = 36   ⇒   b = 6
  • 2ab = 2(4w)(6) = 48w

Then the factorization is ...

  16w² +48w +36 = (4w +6)²

This will be zero when x = -6/4 = -3/2.

3 0
3 years ago
C. Gage bought a new car for $29,000 to use while he is away at college. The car depreciates (decreases in value) by 11% annuall
OverLord2011 [107]

Answer:

a. The value of the car will be $18,195.25

b. (i) 2.5 hours

(ii) 25 problems each

Step-by-step explanation:

a. To calculate the value of the car after four years, what we shall use is the exponential formula below;

F = PV( 1 - r)^t

where F is the value at year 4

PV is the present price = $29,000

r is the rate = 11% = 11/100 = 0.11

t is the time = 4 years

Substituting these values, we have;

F = 29,000(1-0.11)^4 = 29000(0.89)^4 = $18,195.25

The value of the car when he graduates will be $18,195

b. Let the number of hours it will take for both to have written the same number if problems

be x

For Ms B, the number of problems she would have written at that time will be 10 + 6(x)

For Ms D , the number of problems will be 10 * x = 10x

To get the time it will take for both to write same number of problems, we will need to equate the number of problems they would have written by hour x

Hence;

10 + 6x = 10x

10x-6x = 10

4x = 10

x = 10/4 = 2.5 hours

The number of problems would be;

For Ms B = 6(2.5) + 10 = 15 + 10 = 25

For Ms D = 10(2.5) = 25

They both would have written 25 problems at that time

3 0
3 years ago
If GJ = 7 and HJ = 6, then H ___ G.
MrMuchimi
When H<G because if H is 6 and G is 7 , G is bigger than H
5 0
3 years ago
Read 2 more answers
Other questions:
  • Number 46 please last question
    8·2 answers
  • Please need help asap ❤️You have placed your money in a bank account with an interest rate of 5.8% compounding annually. After 5
    12·1 answer
  • Suppose you know a certain parabola has a vertex of (2, 1) and a y-intercept of 4. By symmetry, you can conclude that the parabo
    8·1 answer
  • What are vertical angles called?
    13·2 answers
  • X = 11 when y = 99. If y varies directly as x, find x when y = 144
    11·1 answer
  • What is the quotient 1 5/8 ÷ -1 3/5
    11·1 answer
  • I need help..Please make it correct..
    11·1 answer
  • 2,114 x 98 *100 points show work
    11·1 answer
  • Find the gradients of the lines A and B. <br> a) Gradient of A is __ <br> b) Gradient of B is __
    5·1 answer
  • Please solve the first three question with explanation ​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!