The order of selecting the balls is an illustration of permutation and combination
- The possible number of winning numbers is 269724312
- The possible number of winning numbers in order is 32366917440
<h3 /><h3>The possible number of winning numbers</h3>
The given parameters are:
- Total white balls = 69
- Total red balls = 24
The possible number of winning numbers in any order is calculated using the following combination expression
![n = ^{69}C_5 * ^{24}C_1](https://tex.z-dn.net/?f=n%20%3D%20%5E%7B69%7DC_5%20%2A%20%5E%7B24%7DC_1)
This gives
![n = 11238513* 24](https://tex.z-dn.net/?f=n%20%3D%2011238513%2A%2024)
Evaluate the product
![n = 269724312](https://tex.z-dn.net/?f=n%20%3D%20269724312)
Hence, the possible number of winning numbers is 269724312
<h3>The possible number of winning numbers in order </h3>
When order is important, we make use of permutation.
So, we have:
![n = ^{69}P_5 * ^{24}P_1](https://tex.z-dn.net/?f=n%20%3D%20%5E%7B69%7DP_5%20%2A%20%5E%7B24%7DP_1)
This gives
![n = 1348621560* 24](https://tex.z-dn.net/?f=n%20%3D%201348621560%2A%2024)
Evaluate the product
![n = 32366917440](https://tex.z-dn.net/?f=n%20%3D%2032366917440)
Hence, the possible number of winning numbers in order is 32366917440
Read more about permutation and combination at:
brainly.com/question/1216161
Answer:
31.4
Step-by-step explanation:
4×8-3÷5
32-3÷5
32-0.6
31.4
-5x + 12x - 8x = -24
-x = -24
x = -24/-1 = 24