Question

Simplify the expression.
12P5

Answer 1

hint:
\[nPr = \frac{n!}{(n-r)!}\]
therefore
\[12P5 - \frac{12!}{(12-5)!}\]
does that help?

Answer 2

still not getting it
sorry im hard to teach

Answer 3

okay first...what is 12 - 5?

Answer 4

7

Answer 5

so the thing i wrote becomes \[\frac{12!}{7!}\]

Answer 6

do you know what 12! and 7! equal to?

Answer 7

No. thats where i get lost

Answer 8

do you know what the ! mean?

Answer 9

no

Answer 10

so im guessing you're not familiar with factorials huh

Answer 11

Im really dumb in case you cant tell. So thats a no

Answer 12

basically... \[n! = n \times (n-1) \times (n-2) \times \cdots \times 1\]
for example
\[2! = 2 \times 1\]
\[3! = 3 \times 2\times 1\]
\[4! = 4\times 3 \times 2 \times 1\]
\[5! = 5\times 4 \times 3 \times 2 \times 1\]
do you get the concept now?

Answer 13

and nahhh i dont think you're dumb...i blame the teacher and online schools for jumping from topic to topic without teaching the fundamenetals

Answer 14

OOOHH OK!!! I get it now!!!

Answer 15

wonderful ^_^

Answer 16

So then it'd be
12x11x10x9x8x7x6x5x4x3x2x1
7x6x5x4x3x2x1?

Answer 17

yup..notice and find what you can cancel out

Answer 18

\[\frac{12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}\]
something's cancellable

Answer 19

Is the answer 95040?

Answer 20

let me check...

Answer 21

yup congrats

Answer 22

Woop!!! Im a genius!!!! Oh yah!!!! Thanks buddy!!! (:

Answer 23

haha welcome ^_^