How do I solve this problem?
6C3
A. 120
B. 720
C. 20
D. 240
Is it 6*5*4*3*2*1
1. C
2. B
3. D
4. B
5. D
6. B
7. B
8. B your welcome
Nevaeh & Carmen 100% correct
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it's C
you set it up like this (say you have 3 toppings for your pizza and 6 toppings to choose from)
6
6C3 = ----
3
then.. = 6 times 5
---------
3 times 2
when you multiply the numbers they go lower and lower until it reaches the number (aka the 3 toppings for your pizza) .. kinda hard to explain.. sorry.
then you go 6 times 5 times 4
---------------
3 times 2 times 1
this then equals 120/6
120/6 = 20
im so sorry this is so hard to explain. I would have to visually (like on a paper and stuff) show you but I can't.
but its 20
Thank you for all your help (-:
CBDBDBBB is correct for 4.5.6 - Quiz: Combinations Quiz
neveah&carmon is 100% right for connexus
To solve the problem 6C3, which represents "6 choose 3," you need to use the combination formula. The combination formula is given by:
nCr = n! / ((n-r)! * r!)
Where n is the total number of items, and r is the number of items you want to choose from the total.
In this case, you have 6 items and you want to choose 3. Plugging these values into the combination formula, we get:
6C3 = 6! / ((6-3)! * 3!)
Simplifying this expression:
6C3 = 6! / (3! * 3!)
6! is equal to 6 x 5 x 4 x 3 x 2 x 1, as you mentioned. However, to find the answer to the problem, you need to divide 6! by 3! and (6-3)!, both of which can be simplified further.
3! is equal to 3 x 2 x 1, and (6-3)! is equal to 3! as well. So, we can simplify the expression further:
6C3 = (6 x 5 x 4 x 3 x 2 x 1) / ((3 x 2 x 1) * (3 x 2 x 1))
Now, cancelling out the common factors:
6C3 = (6 x 5 x 4) / (3 x 2 x 1)
Evaluating the quotient:
6C3 = 120
Therefore, the answer to the problem 6C3 is 120. Therefore, option A. 120 is the correct answer.