in how many ways can advertising agency promote 12 items 6 at a time during 12-minute period of tv time
1234
Is the add 12 minutes long?
Can you say word for word on what the question is so that I can help you answer it?
Question 1
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To find the number of ways an advertising agency can promote 12 items, 6 at a time, during a 12-minute period of TV time, we can use the concept of combinations.
In this scenario, the order of the items does not matter, and we are selecting 6 items from a total of 12. This can be calculated using the combination formula:
C(n, r) = n! / (r!(n-r)!)
Where C(n, r) represents the combination of selecting r items from a total of n items.
Plugging in the values into the formula, we have:
C(12, 6) = 12! / (6!(12-6)!)
Simplifying the expression:
C(12, 6) = 12! / (6! * 6!)
Note: The exclamation mark (!) denotes a factorial, which means the product of all positive integers less than or equal to the given number.
Calculating the factorials:
12! = 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
6! = 6 * 5 * 4 * 3 * 2 * 1
Simplifying further, we have:
C(12, 6) = (12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / ((6 * 5 * 4 * 3 * 2 * 1) * (6 * 5 * 4 * 3 * 2 * 1))
Evaluating the expression:
C(12, 6) = 924
Therefore, there are a total of 924 ways the advertising agency can promote 12 items, 6 at a time, during a 12-minute period of TV time.