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trasher [3.6K]
3 years ago
9

Need help with this shape

Mathematics
1 answer:
NISA [10]3 years ago
4 0
It is a quadrilateral
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If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple ar
erma4kov [3.2K]

Answer:

\frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}

Step-by-step explanation:

Given

5 tuples implies that:

n = 5

(h,i,j,k,m) implies that:

r = 5

Required

How many 5-tuples of integers (h, i, j, k,m) are there such thatn\ge h\ge i\ge j\ge k\ge m\ge 1

From the question, the order of the integers h, i, j, k and m does not matter. This implies that, we make use of combination to solve this problem.

Also considering that repetition is allowed:  This implies that, a number can be repeated in more than 1 location

So, there are n + 4 items to make selection from

The selection becomes:

^{n}C_r => ^{n + 4}C_5

^{n + 4}C_5 = \frac{(n+4)!}{(n+4-5)!5!}

^{n + 4}C_5 = \frac{(n+4)!}{(n-1)!5!}

Expand the numerator

^{n + 4}C_5 = \frac{(n+4)!(n+3)*(n+2)*(n+1)*n*(n-1)!}{(n-1)!5!}

^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5!}

^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5*4*3*2*1}

^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}

<u><em>Solved</em></u>

6 0
2 years ago
Simplify the expression <br> -1/8-2/7
SpyIntel [72]

the answer would be -\frac{23}{56} because you would need to find the LCD, which in this case would be 56 and you solve from there.

4 0
3 years ago
Read 2 more answers
SOMEONE PLEASE HELP!!
german

-12=\dfrac{-12}{1}=\dfrac{12}{-1}=\dfrac{-24}{2}=\dfrac{24}{-2}=\dfrac{-36}{3}=\dfrac{36}{-3}=\dfrac{-48}{4}=\dfrac{48}{-4}=\dots

7 0
3 years ago
What is the word form for 2.51 and expanded form
Nimfa-mama [501]
Word Form:
Two and fifty-one hundredths

Expanded Form:
2 + 0.5 + 0.01

Hope I Helped You!!! :-)

Have A Good Day!!!
6 0
3 years ago
We described numbers in this lesson using both powers of 10 and using standard decimal value. For example, the speed of light th
navik [9.2K]
Hello how are you doing so the answer for this question is going to be maybe it’s going to be A
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2 years ago
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