Question

There are 20 students on the school's student council. A special homecoming dance committee is to be formed by randomly selecting 7 students from student council. How many possible committees can be formed?

Answer 1

5,040
77,520
390,700,800

Answer 2

It's permutation -> 390,700,800

Answer 3

explain

Answer 4

The committee, so the order is matter!

Answer 5

@nbouscal help on this one for feed back

Answer 6

I don't think that order matters. You're just picking a committee. A committee of the same 7 people in different order would be the same committee. So, it's a combination. Combination will be \[
\frac{20!}{7!13!}
\]

Answer 7

ok so solve that and get my answer

Answer 8

Yep.

Answer 9

ok

Answer 10

i get a

Answer 11

5040

Answer 12

\[
\frac{20\times19\times18\times17\times16\times15\times14}{7\times6\times5\times4\times3\times2}=\frac{\not20\times19\times\not18\times17\times16\times15\times\not14}{\not7\times\not6\times\not5\times\not4\times\not3\times\not2}\\
19\times17\times16\times15\\
77,520
\]

Answer 13

ok thank you