6c3
The calculation of 6c3 is:
6c3 = 6! / (3! * (6-3)!)
= 6! / (3! * 3!)
= (6 * 5 * 4) / (3 * 2 * 1)
= 20
Therefore, 6c3 is equal to 20.
To calculate 6c3, which represents "6 choose 3," you can use the formula for combinations.
The formula for combinations is:
nCr = n! / (r!(n-r)!)
In this case, n = 6 and r = 3.
Applying the values, we have:
6c3 = 6! / (3!(6-3)!)
Simplifying the equation further:
6c3 = 6! / (3! * 3!)
Next, calculate the factorials:
6! = 6 * 5 * 4 * 3 * 2 * 1 = 720
3! = 3 * 2 * 1 = 6
Plugging those values back into the equation:
6c3 = 720 / (6 * 6)
Now, calculate the denominator:
6 * 6 = 36
Finally, divide the numerator by the denominator:
6c3 = 720 / 36 = 20
So, 6c3 is equal to 20.
To find the value of 6C3, we need to use the combination formula, which is given by:
nCr = n! / (r!(n-r)!)
In this formula, n represents the total number of items, and r represents the number of items we want to choose.
For 6C3, we have n = 6 and r = 3. Plugging these values into the combination formula, we get:
6C3 = 6! / (3!(6-3)!)
Now, let's calculate each part of the formula:
6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
3! = 3 x 2 x 1 = 6
(6-3)! = 3! = 6
Plugging these values back into the formula, we get:
6C3 = 720 / (6 x 6)
Simplifying further, we have:
6C3 = 720 / 36
Now, dividing 720 by 36 gives us:
6C3 = 20
Therefore, the value of 6C3 is 20.