What is the length of line segment EF?

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

ryzh [129]

Answer:

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

Step-by-step explanation:

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 formula $nCr = \frac{n!}{r!(n - r)!}$

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,

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

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

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

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

$15C_5 = \frac{360360}{120}$

$15C_5 = 3003$

7 0

3 years ago

Can someone help me with these two problems and show work please !!

irina1246 [14]

Work is attached to this post

5 0

2 years ago

Read 2 more answers

I need help with this problem. please help Directions: Solve each system by substitution.

artcher [175]

Answer:

(-1,-6)

Step-by-step explanation:

Plug 6x for y into the bottom equation:

2x+3(6x)= -20

2x+18x= -20

20= -20

x= -1

Substitute -1 for x in the equation for y:

y=6(-1)

y=-6

I hope I could help :)

3 0

3 years ago

Read 2 more answers

What is growth mindset? Describe growth mindset.

Nastasia [14]

Answer:

Growth Mindset: “In a growth mindset, people believe that their most basic abilities can be developed through dedication and hard work—brains and talent are just the starting point. This view creates a love of learning and a resilience that is essential for great accomplishment. In a growth mindset, people believe that their most basic abilities can be developed through dedication and hard work—brains and talent are just the starting point. This view creates a love of learning and a resilience that is essential for great accomplishment,” Dweck wrote.

Step-by-step explanation:

8 0

3 years ago

Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the following sequen

xenn [34]

Answer:

a8=10935

Step-by-step explanation:

A geometric sequece is a sequence of the form

$a_n=a\cdit r^{n-1}$