Question

what is 10C6?

Answer 1

This generally means how many ways can you count 6 things from 10.
in this case it is 210

Answer 2

same as \[\dbinom{10}{6}\]

Answer 3

sooo 10*9*8**6*5*4/6?

Answer 4

ok yes, as long as the 6 in your denominator is really 6*5*4*3*2

Answer 5

and the missing 7 is a typo.

Answer 6

25200?

Answer 7

but there is an easier way to do this. it is fairly clear that \[\dbinom{10}{6}=\dbinom{10}{4}\]
since picking 6 out of ten people to invite to dinner is the same as picking 4 to exclude. it is easier to think of the second.

Answer 8

\[\frac{10\times9 \times 8\times 7}{4\times 3\times 2}\]

Answer 9

2520? or 210?

Answer 10

or \[\frac{10 \times9 \times 8\times 7\times 6\times 5\times 4}{6 \times 5 \times4 \times3\times 2}\]

Answer 11

210

Answer 12

youre right! ty

Answer 13

wecome. general formula is \[dbinom{n}{k}=\frac{n!}{k!\times (n-k)!}\]
but you really don't want to compute that way. cancel first, multiply last.

Answer 14

oops
\[\dbinom{n}{k}\]