evaluate the expression
5C2
5!
5-2!=
my 1st answer was 20 than 120 either one was right.
where do I go wrong
Thank so much for your time
5! / [ 2! (5-2)! ]
5!/(2! 3!)
5 * 4 * 3 *2 /(2 * 3 * 2)
10
I'm pretty sure I'm right I believe the answer is 100
Here is a web site that can help you wolframalpha
Mark, the correct answer is 10
Please trust Damon.
To evaluate the expression 5C2, you need to use the concept of combinations.
The expression "5C2" stands for the number of combinations of 5 items taken 2 at a time. It can also be represented as "5 choose 2".
To calculate this, you can use the formula for combinations:
nCk = n! / (k! * (n-k)!)
where n is the total number of items and k is the number of items chosen.
Let's calculate the value of 5C2 step by step:
1. Calculate the factorials:
5! = 5 * 4 * 3 * 2 * 1 = 120
2! = 2 * 1 = 2
(5-2)! = 3! = 3 * 2 * 1 = 6
2. Substitute the values into the formula:
5C2 = 5! / (2! * (5-2)!)
= 120 / (2 * 6)
= 120 / 12
= 10
Therefore, the correct value of 5C2 is 10.
In your initial attempt, you calculated 5! as 20, which is incorrect. The factorial of 5 is equal to 120. Using the correct value for 5! (120) will yield the correct result of 5C2 as 10.
I hope this clarifies where you went wrong. If you have any further questions, please feel free to ask!