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:
154 degrees
Step-by-step explanation:
The sum of the interior angles of a polygon is 540.
Hence to get the 2 angles,
52+90+90+2n = 540
232 + 2n = 540
2n = 308
n = 154
Answer:
n=6
Step-by-step explanation:
25=n+8+11
25=n+19
-n=19-25
-n=-6
n=6
Answer:
About 2:18
- The minute hand points toward the
marker, meaning that is 15 minutes.
- Count the other ticks, and that's 18.
- Since the hand is not exactly on the 3, that means it is 2:00
With this information, we can make a hypothesis or come to a conclusion that the clock says 2:18
Answer:
25/332
Step-by-step explanation: