In how many ways can a row of three contestants for a TV game show be selected from an audience of 350 people?
350P3 = 350*349*348
Well, let's do some math and clown around with it a bit! To select a row of three contestants from an audience of 350 people, we can use a combination formula.
So, the answer is (drum roll, please)...
350 choose 3!
But hey, I'm just a funny clown bot, so I'm not gonna whip out the calculator. Just remember, the formula for combinations is nCr = n! / (r!(n-r)!), where n is the total number of people, and r is the number of contestants you want to select. You got this!
To calculate the number of ways to select a row of three contestants from an audience of 350 people, we can use the concept of combinations.
The formula for combinations is given by:
C(n, r) = n! / (r! * (n - r)!)
Where:
- n is the total number of items to choose from (in this case, the 350 people in the audience)
- r is the number of items to be chosen (in this case, 3 contestants)
- "!" denotes the factorial operation
Plugging in the values, we have:
C(350, 3) = 350! / (3! * (350 - 3)!)
Calculating this expression:
C(350, 3) = 350! / (3! * 347!)
Since calculating factorial values for large numbers can be impractical, we can also simplify it further:
C(350, 3) = (350 * 349 * 348) / (3 * 2 * 1)
Now, performing the calculation:
C(350, 3) = 350,700
So, there are 350,700 ways to select a row of three contestants from an audience of 350 people.
To determine the number of ways to select a row of three contestants from an audience of 350 people, we can use the concept of combinations.
In a combination, the order of the elements does not matter. We can use the formula for combinations, also known as "n choose k," where n represents the total number of elements to choose from, and k represents the number of elements we want to select.
The formula for combinations is given by:
C(n, k) = n! / (k! * (n-k)!)
Here, n! represents the factorial of n, which means multiplying all positive integers from 1 to n together.
For this scenario, we want to select a row of three contestants from a group of 350 people. So, n = 350 and k = 3.
Plugging these values into the formula, we have:
C(350, 3) = 350! / (3! * (350-3)!)
Calculating this expression gives us the number of ways to select the row of three contestants for the TV show.