Question

Evaluate.

A.
20
B.
30
C.
60
D.
120

Answer 1

@iGreen

Answer 2

I have the same question omg

Answer 3

\(\sf \dfrac{n!}{(n-r)!}\)

In this case:

\(\sf n = 5\)
\(\sf r = 2\)

Answer 4

So we have:

\(\sf \dfrac{5!}{(5 - 2)!}\)

5 - 2 = ?

Answer 5

Btw, either of you can answer since both of you have the question :P

Answer 6

3

Answer 7

Yep, so we have:

\(\sf \dfrac{5!}{3!}\)

Answer 8

Do you know what those exclamation marks mean?

Answer 9

@BrokeKB

Answer 10

Those exclamation marks mean to multiply the whole numbers that come before it.

\(\sf\dfrac{5!}{3!}\rightarrow\dfrac{5\times4\times3\times2\times1}{3\times2\times1}\)

Cross out the similar numbers:

\(\sf \dfrac{5\times4\times \cancel3\times \cancel2\times \cancel1}{\cancel3\times \cancel2\times \cancel1}\)

Which leaves you with:

\(\sf 5 \times 4\)

Can you multiply that?

Answer 11

20

Answer 12

Yes, that's our answer.

Answer 13

@51st&FIGG

Answer 14

\(\color{lime}{\underbrace{\overbrace{\Huge\bigstar\star\ast\bigstar\star\ast\bigstar\star\ast\bigstar\star\ast\\\bigstar\star\ast\bigstar\star\ast\bigstar\star\ast\bigstar\star\ast\bigstar\star\ast\bigstar\star\ast\bigstar\star\ast\bigstar\star\ast\bigstar\star\ast\bigstar\star\ast\\\Large{~\succ}\bigstar\boxed{\sf Welcome~to~\color{#3dabea}{Open}\color{#9cc575}{Study}!!!}\bigstar\hspace-5px\prec\\\bigstar\star\ast\bigstar\star\ast\bigstar\star\ast\bigstar\star\ast\bigstar\star\ast\bigstar\star\ast\bigstar\star\ast\bigstar\star\ast\bigstar\star\ast\bigstar\star\ast\\\Huge{\bigstar\star\ast\bigstar\star\ast\bigstar\star\ast\bigstar\star\ast}}}}\) \(\small\sf\color{red}{Made~by~@nobrainiachere,~edited~by~@iGreen}\)

You can give medals by clicking 'Best Response'.

Answer 15

Thanks @iGreen