Answer:
60,480 is the correct answer.
Step-by-step explanation:
First of all, let us have a look at the <em>formula of factorial of a number 'n'</em>:
![n! = n \times (n-1) \times (n-2) \times ...... \times 1](https://tex.z-dn.net/?f=n%21%20%3D%20n%20%5Ctimes%20%28n-1%29%20%5Ctimes%20%28n-2%29%20%5Ctimes%20......%20%5Ctimes%201)
i.e. multiply n with (n-1) then by (n-2) upto 1.
<em>Keep on subtracting 1 from the number and keep on multiplying until we reach to 1.</em>
<em></em>
So,
can be written as: ![9 \times 8 \times 7 \times ...... \times 1](https://tex.z-dn.net/?f=9%20%5Ctimes%208%20%5Ctimes%207%20%5Ctimes%20......%20%5Ctimes%201)
Similarly
can be written as: ![3 \times 2 \times 1](https://tex.z-dn.net/?f=3%20%5Ctimes%202%20%5Ctimes%201)
Re-writing
:
![9 \times 8 \times 7 \times ...... 3 \times 2 \times 1\\\Rightarrow 9 \times 8 \times 7 \times ...... 3 !](https://tex.z-dn.net/?f=9%20%5Ctimes%208%20%5Ctimes%207%20%5Ctimes%20......%203%20%5Ctimes%202%20%5Ctimes%201%5C%5C%5CRightarrow%209%20%5Ctimes%208%20%5Ctimes%207%20%5Ctimes%20......%203%20%21)
Now, the expression to be evaluated:
![\dfrac{9!}{3!} = \dfrac{9 \times 8 \times 7 \times ..... \times 3!}{3!}\\\Rightarrow 9 \times 8 \times 7 \times 6 \times 5 \times 4\\\Rightarrow 60480](https://tex.z-dn.net/?f=%5Cdfrac%7B9%21%7D%7B3%21%7D%20%3D%20%5Cdfrac%7B9%20%5Ctimes%208%20%5Ctimes%207%20%5Ctimes%20.....%20%5Ctimes%203%21%7D%7B3%21%7D%5C%5C%5CRightarrow%209%20%5Ctimes%208%20%5Ctimes%207%20%5Ctimes%206%20%5Ctimes%205%20%5Ctimes%204%5C%5C%5CRightarrow%2060480)
Answer:
B(4, -5)
Step-by-step explanation:
A(-8, 7)
M(-2, 1)
B(x, y)
x-coordinate:
(-8 + x)/2 = -2
-8 + x = -4
x = 4
y-coordinate:
(7 + y)/2 = 1
7 + y = 2
y = -5
B(4, -5)
Answer:
3x×1/3=9×1/3
x=3
Step-by-step explanation:
fill it in
reciprocal of 3 = 1/3
The answer is 32..........
He can make 5 rows of 7.
Or he can make 7 rows of 5.
Hope this helps you. :-)