Answer:
12870ways
Step-by-step explanation:
Combination has to do with selection
Total members in a tennis club = 15
number of men = 8
number of women = 7
Number of team consisting of women will be expressed as 15C7
15C7 = 15!/(15-7)!7!
15C7 = 15!/8!7!
15C7 = 15*14*13*12*11*10*9*8!/8!7!
15C7 = 15*14*13*12*11*10*9/7 * 6 * 5 * 4 * 3 * 2
15C7 = 15*14*13*12*11/56
15C7 = 6,435 ways
Number of team consisting of men will be expressed as 15C8
15C8 = 15!/8!7!
15C8 = 15*14*13*12*11*10*9*8!/8!7!
15C8 = 15*14*13*12*11*10*9/7 * 6 * 5 * 4 * 3 * 2
15C8 = 6,435 ways
Adding both
Total ways = 6,435 ways + 6,435 ways
Total ways = 12870ways
Hence the required number of ways is 12870ways
I think the answer may be 291
<span>The answer is 7. Seven is a prime number, which means that its multiples are 1 and itself (7): 7 = 1 * 7. To find out which one is a factor of 7, we should divide each of them by 7. 1/7 will be a decimal number and 7/7 = 1, which is a whole number. Thus, 7 will be a multiple of 7 and also a factor of 7.Hope this helps. Let me know if you need additional help!</span>
Answer:
<em>The surface area of the sphere is 314 mi².</em>
Step-by-step explanation:
According to the given diagram, the diameter of the sphere is 10 mi.
If the radius is 
, then diameter 
So....
<u>Formula for the surface area of a sphere</u>: 
Plugging the value of into this formula, we will get...
![A_{S}=4\pi(5)^2\\ \\ A_{S}=4\pi(25)\\ \\ A_{S}=4(3.14)(25)\ \ [Using\ \pi=3.14]\\ \\ A_{S}=314](https://tex.z-dn.net/?f=A_%7BS%7D%3D4%5Cpi%285%29%5E2%5C%5C%20%5C%5C%20A_%7BS%7D%3D4%5Cpi%2825%29%5C%5C%20%5C%5C%20A_%7BS%7D%3D4%283.14%29%2825%29%5C%20%5C%20%5BUsing%5C%20%5Cpi%3D3.14%5D%5C%5C%20%5C%5C%20A_%7BS%7D%3D314)
So, the surface area of the sphere is 314 mi².
