what is the equation of calculating 5/90 lottery winning numbers if these numbers were selected for the first week 24-13-6-60-70
To calculate the equation for finding the winning numbers for a 5/90 lottery, we need to understand the concept of probability. In a 5/90 lottery, there are 90 numbers from which 5 will be drawn as the winning numbers.
To find the equation, we can use a combination formula. The combination formula calculates the number of ways to choose a specific number of items from a larger set. In this case, we want to choose 5 numbers from the set of 90.
The combination formula is:
C(n, r) = n! / (r!(n-r)!)
Where:
- C(n, r) represents the number of combinations
- n is the total number of items in the set
- r is the number of items to be chosen
- ! denotes factorial, which is the product of all positive integers less than or equal to the number
So, for a 5/90 lottery, the equation to calculate the number of possible winning number combinations would be:
C(90, 5) = 90! / (5!(90-5)!)
Simplifying further:
C(90, 5) = 90! / (5!85!)
Note: The exclamation mark is used to represent the factorial operation. For example, 5! means 5 factorial, which is calculated as 5 x 4 x 3 x 2 x 1 = 120.
Once you calculate the value of C(90, 5), you will get the total number of combinations possible. However, this equation only calculates the number of combinations, not the actual winning numbers.
In the case of the specific numbers you provided (24, 13, 6, 60, 70), they are already drawn as the winning numbers for a particular week. So, this equation is not necessary in this context.