Question

Evaluate: C(14, 10)

Answer 1

Here you go

Answer 2

so which answer choice is your answer

Answer 3

can you show me how that works please

Answer 4

Do you see your question

It says
C(14, 10)

the formula is
C(n, r) = \(\dfrac{n!}{(n-r)!r!}\)


Do you know what `!` means? what factorial means?

Answer 5

no i don't

Answer 6

huh

so if you have 4! that means you're multiplying 4*3*2*1

you just keep multiply down until 1

so like 10! = 10*9*8*7*6*5*4*3*2*1

Answer 7

does that make sense?

Answer 8

ok that makes sense

Answer 9

!14= 14 13 12 11 10 9 8 7 6 5 4 3 2 1 like this?

Answer 10

you forgot all the multiplication signs in between

Answer 11

but yeah, you don't really need to multiply it out though

look at the formula and look at the answer choices

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
Do you see your question

It says
C(14, 10)

the formula is
C(n, r) = \(\dfrac{n!}{(n-r)!r!}\)
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 12

what number is n and r ?

Answer 13

sometimes I really wish you were joking like idk how to make it any more obvious to you

Answer 14

I'll add colors for you once again


It says
C(\(\color{red}{14}, \color{orange}{10}\))

the formula is
\( \text{C} (\color{red}{n}, \color{orange}{r}) = \dfrac{\color{red}{n}!}{(\color{red}{n}-\color{orange}{r})!\color{orange}{r}!}\)

can you at least use the colors to put the numbers where they belong?

Answer 15

ok thanks

Answer 16

so it's the second option?

Answer 17

and then simplify the parenthesis

remember if it was 14! - 10!
then it can't be simplified without multiplying the two numbers out and doing the subtraction

but our equation has (14-10)!
so you can do the subtraction inside the parenthesis to get 4!

Answer 18

yeah the second one is correct

but that's only because they calculated it and got to the right answer.

The third one has it correctly set up but the final answer is incorrect

Answer 19

ok thanks as

Answer 20

no problem Kyle