Answer:
(a) 4.148 x 10^(12) ways
(b) 5,827,360 ways
Step-by-step explanation:
Number of Demonstrators (D) = 44
Number of Repudiators (R) = 56
(a)
5 senate members must be Repudiators and 5 must be demonstrators, assuming that the order at which they are selected is irrelevant:
![N= C^{D}_{5} * C^{R}_{5}\\N=\frac{56!}{5!(56-5)!} *\frac{44!}{5!(44-5)!} \\N=3,819,816*1,086,008\\N=4.148 *10^{12}](https://tex.z-dn.net/?f=N%3D%20C%5E%7BD%7D_%7B5%7D%20%2A%20C%5E%7BR%7D_%7B5%7D%5C%5CN%3D%5Cfrac%7B56%21%7D%7B5%21%2856-5%29%21%7D%20%2A%5Cfrac%7B44%21%7D%7B5%21%2844-5%29%21%7D%20%5C%5CN%3D3%2C819%2C816%2A1%2C086%2C008%5C%5CN%3D4.148%20%2A10%5E%7B12%7D)
(b)
Since there are two different positions, (speaker and vice speaker), order is important in this situation, and the total number of ways to select two senators from each party is:
![N= P^{D}_{2} * P^{R}_{2}\\N=\frac{56!}{(56-2)!} *\frac{44!}{(44-2)!} \\N=3,080*1,892\\N=5,827,360](https://tex.z-dn.net/?f=N%3D%20P%5E%7BD%7D_%7B2%7D%20%2A%20P%5E%7BR%7D_%7B2%7D%5C%5CN%3D%5Cfrac%7B56%21%7D%7B%2856-2%29%21%7D%20%2A%5Cfrac%7B44%21%7D%7B%2844-2%29%21%7D%20%5C%5CN%3D3%2C080%2A1%2C892%5C%5CN%3D5%2C827%2C360)
This problem is Not Linear
Answer:
10/31
Step-by-step explanation:
Out of the total 62 skaters, 20 were not age 12 and were wearing rollerblades. 20/62=10/31. Hope this helps!
Answer:
the awser should be 2.28
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
3(4) + 4 (5)
4+5+9
3+4=7
7+9
16