Final answer:
The expression 12C5 refers to the number of combinations of 5 items from a set of 12, which is calculated using the formula 12!/(5!*(12-5)!). Simplifying this, the value is determined to be 792, which means the correct answer is option 2.
Step-by-step explanation:
The expression 12 c 5 likely refers to 12 choose 5, which is a combination calculation and can be denoted as 12C5 or nr(n-r)!. This represents the number of ways to choose 5 items from a set of 12 without regard to the order. To calculate it, use the formula:
12C5 = 12! / (5! * (12 - 5)!) = 12! / (5! * 7!)
Calculating the factorial values and simplifying:
12! = 12 × 11 × ... × 1
5! = 5 × 4 × ... × 1
7! = 7 × 6 × ... × 1
This simplifies to:
12C5 = 12 × 11 × 10 × 9 × 8 / (5 × 4 × 3 × 2 × 1)
After canceling out the common factors, the result is:
12C5 = 792
Therefore, the value of the expression 12C5 is 792, which corresponds to option 2.