Please help me fast!!

Use the method illustrated in the solutions to Exercise 9.2.39 to answer the following questions. (a) How many ways can the lett

Jobisdone [24]

Answer:

(a) 720 ways

(b) 120 ways

(c) 24 ways

Step-by-step explanation:

Given

$Word = DANCER$

$n =6$ --- number of letters

Solving (a): Number of arrangements.

We have:

$n =6$

So, the number of arrangements is calculated as:

$Total =n!$

This gives:

$Total =6!$

This gives:

$Total =6*5*4*3*2*1$

$Total =720$

Solving (b): DA as a unit

DA as a unit implies that, we have:

[DA] N C E R

So, we have:

$n = 5$

So, the number of arrangements is calculated as:

$Total =n!$

This gives:

$Total =5!$

This gives:

$Total =5*4*3*2*1$

$Total =120$

Solving (c): NCE as a unit

NCE as a unit implies that, we have:

D A [NCE] R

So, we have:

$n = 4$

So, the number of arrangements is calculated as:

$Total =n!$

This gives:

$Total =4!$

This gives:

$Total =4*3*2*1$

$Total =24$

8 0

2 years ago

The double dot plot shows the number of points scored by Sam and Daniel in 15 games. What is the difference between their median

just olya [345]

Answer:

4.9

Step-by-step explanation:

7 0

2 years ago

A farmer plants twice as many acres of wheat as corn on his land. If he plants no more than 36 acres, what is the greatest numbe

Leona [35]

Answer: 12 acres could be planted (at most)

Step-by-step explanation: Since there will be twice as many acres of wheat in comparison to the corn, out of the total 36 acres at least 24 of those will need to be wheat. That leaves 12 acres left for the corn.

6 0

3 years ago

A circus acrobat is shot out of a cannon. The equation for the acrobat's pathway can be modeled by h= -16t^2+25. How long will i

Alex_Xolod [135]

For this we almost have the following equation:
$h = -16t ^ 2 + 25
$
We must match the equation to zero:
$-16t ^ 2 + 25 = 0
$
From here, we clear the value of t.
We have then:
$16t ^ 2 = 25

t ^ 2 = 25/16$
We discard the negative root because we are looking for time:
$t = \sqrt{ \frac{25}{16} } 

$
$t = \frac{5}{4}$
Answer:
it will take him to reach the ground about:
$t = \frac{5}{4}$ seconds

5 0

3 years ago

True or False??<br><br> In the following number, the 8 is in the hundreds place.<br><br> 15,829

Ganezh [65]

Answer:

your answer is true.

Step-by-step explanation:

As 8 is in the hundredth place.

8 0

3 years ago

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