Answer:
3rd option
Step-by-step explanation:
The input(x) does not repeat
Answer:
![\large\boxed{\large\boxed{2.428678219969\times 10^{15}}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Clarge%5Cboxed%7B2.428678219969%5Ctimes%2010%5E%7B15%7D%7D%7D)
Explanation:
It is said that the <em>order is not considered</em>, meaning that the order does not matter. For instance, ABCDEF is equal to any combination of those same letters.
Thus, this problem deals with combinations, whose formula is:
![C(m,n)=\dfrac{m!}{n!\cdot (m-n)!}](https://tex.z-dn.net/?f=C%28m%2Cn%29%3D%5Cdfrac%7Bm%21%7D%7Bn%21%5Ccdot%20%28m-n%29%21%7D)
For <em>27 flavors of ice cream</em> and <em>6 dip sundaes</em>, m = 27 and n = 6:
![C(27,6)=\dfrac{27!}{6!\cdot (27-6)!}=\dfrac{27!}{6!\cdot 13!}=2.428678219969\times 10^{15}](https://tex.z-dn.net/?f=C%2827%2C6%29%3D%5Cdfrac%7B27%21%7D%7B6%21%5Ccdot%20%2827-6%29%21%7D%3D%5Cdfrac%7B27%21%7D%7B6%21%5Ccdot%2013%21%7D%3D2.428678219969%5Ctimes%2010%5E%7B15%7D)
Answer:
translation
Step-by-step explanation:
Answer: Triangle ABC and Triangle ECD
Step-by-step explanation:
In Triangle ABC and Triangle ECD
BD=CD and AD=ED [given in the figure]
∠BDA=∠EDC [Vertically opposite angles are equal]
⇒ΔABC ≅ ΔECD [By SAS postulate]
SAS postulate or Side Angle Side postulate tells that if two sides and their included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
Answer:
its either $8.34 or $8
Step-by-step explanation: