Question

There are 6 students who all want to be in a group of 3 people chosen to speak at graduation. How many different groups can be chosen?

Answer 1

6!/(3!*3!)

Answer 2

6 choose 3

Answer 3

so the answer is 6!/(3!*3!)?

Answer 4

Yes, the answer would be \(\large \frac{6!}{(3!\times3!)}\)

First multiply 3! x 3!, what do you get?

Answer 5

When a number has an exclamation point behind it, you multiply it with the numbers behind it until you reach 1, so

\(3!~ \color{red}{->}~ 3 \times 2 \times 1~ \color{red}{->}~ 6\)

So \(3! \times 3! ~\color{red}{->} 6 \times 6~\color{red}{->}~36\)

If you replace 3! x 3! with 36 you will have \(\large \frac{6}{36}\), and now let's solve for 6!

\(6!~\color{red}{->~}6\times5\times4\times3\times2\times1\)

Can you tell me what is 6 x 5 x 4 x 3 x 2 x 1 is?

Answer 6

I mean you will have \(\large \frac{6!}{36}\) not \(\Large \frac{6}{36}\)

Answer 7

is this 6!36 and this6!(3!×3!) the same thing?

Answer 8

6!/(3!*3!) and 6!/36

Answer 9

No, \(\frac{6!}{36}=\frac{6!}{(3!\times3!)}\)

Answer 10

Yes

Answer 11

Because

3! = 3 x 2 x 1 = 6

And we have 3! x 3! which is the same thing as 6 x 6, so we have 36

Answer 12

ohhhhh ok

Answer 13

So can you tell me what is 6! ?

6! = 6 x 5 x 4 x 3 x 2 x 1

Answer 14

720

Answer 15

@jackelyn_1234 720 is not correct