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2 years ago

Need work for problems I already know the answers

Mathematics

1 answer:

alexgriva [62]2 years ago

4 0

Don’t take this comment seriously

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0/1 For positive integer n, n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?. What is the value of 4# · 3# · 2# · 1#?

MakcuM [25]

Answer:

331776

Step-by-step explanation:

Since n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?

Then 4# = 4? · (4 − 1)? · (4 − 2)?· 1?

= 4? · 3? · 2?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 4? = 4! · (4 − 1)! · (4 − 2)! · 1! = 4! · 3! · 2! · 1! = 288

Thus, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12

Also, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

and 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 4# = 4? · 3? · 2?· 1? = 288 × 12 × 2 × 1 = 6912

We now find 3#

3# = 3? · (3 − 1)? · 1? = 3? · 2?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12

Thus, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

and, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 3# = 3? · 2?· 1? = 12 × 2 × 1 = 24

We now find 2#

2# = 2? · (2 − 1)? · 1? = 2? · 1?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 2# = 2?· 1? = 2 × 1 = 2

We now find 1#

1# = 1? · 1? = 1? · 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

And, 1# = 1? · 1? = 1 × 1 = 1

So, 4# · 3# · 2# · 1#? = 6912 · 24 · 2 · 1? = 331776

7 0

2 years ago

Boy Girl

Lady bird [3.3K]

D should be the correct answer

7 0

3 years ago

What is the answer to 3x+x/4=x+3/4

erica [24]

Answer:x = 1

Step-by-step explanation:

3x + x/4 = x + 3/4

Subtract x from each side

2x + x/4 = 3/4

Times each side by 4

The 4 beneath the x cancels out

3/4 x 4 = 3

2x + x = 3

3x = 3

Divide each side by 3

x = 1

5 0

3 years ago

Pls help I’ll give the big brain award or whatever

andre [41]

Answer:

-0

-1

-2

Step-by-step explanation:

300x80=24,000

7 0

3 years ago

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Use the circle graph sh

mel-nik [20]

Answer: 500 people

Step-by-step explanation:

Let there are x people in the survey.

According to the question,

People who like football as their favorite sports = 42 % of x = 0.42 x

People who like baseball as their favorite sports = 33 % of x = 0.33 x

People who like soccer as their favorite sports = 25 % of x = 0.25 x

But, 210 people said football was their favorite sport.

⇒ 0.42 x = 210

⇒ 42 x = 21000

⇒ x = 500

Therefore, there are 500 people in the survey.

4 0

3 years ago

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