Question

simplify the expression
10P6/10P4

Answer 1

p^2

Answer 2

I dont have any options like that my options are
420
151200
30
5040

Answer 3

@cmckie0208

Answer 4

oh sorry I thought the 6 and 4 were exponents

Answer 5

no haha. do you know how to do this?

Answer 6

@Hero can you help?

Answer 7

\(nPr = \dfrac{n!}{(n - r)!}\)

Answer 8

so... 10/(10-4)??

Answer 9

@Hero

Answer 10

\[10P6 = \frac{10!}{(10 - 6)!}\]

Answer 11

thanks!

Answer 12

wait so I got 2.5?

Answer 13

Did you find \(\dfrac{10P6}{10P4}\) ?

Answer 14

I got 2.5 idk what i did wrong

Answer 15

Do you know what n factorial is and how to evaluate it?

Answer 16

no I dont

Answer 17

\(n! = n(n - 1)(n - 2)(n - 3)...(3)(2)(1)\)

For example
\(6! = (6)(5)(4)(3)(2)(1) = 720\)

Answer 18

Do you understand that?

Answer 19

To be honest not really lol. Could you show me step by step to solve this expression? I learn so much better when I can see each step if you dont mind

Answer 20

Okay, I'll show you an example

\(\dfrac{7P5}{7P3} = \dfrac{\dfrac{7!}{(7 - 5)!}}{\dfrac{7!}{(7 - 3)!}}\)

\(= \dfrac{\dfrac{7!}{2!}}{\dfrac{7!}{4!}} \\= \dfrac{\dfrac{(7)(6)(5)(4)(3)(2)(1)}{(2)(1)}}{\dfrac{(7)(6)(5)(4)(3)(2)(1)}{(4)(3)(2)(1)}} \\= \dfrac{\dfrac{(7)(6)(5)(4)(3)\cancel{(2)(1)}}{\cancel{(2)(1)}}}{\dfrac{(7)(6)(5)\cancel{(4)(3)(2)(1)}}{\cancel{(4)(3)(2)(1)}}} \\ = \dfrac{(7)(6)(5)(4)(3)}{(7)(6)(5)} \\ = \dfrac{\cancel{(7)(6)(5)}(4)(3)}{\cancel{(7)(6)(5)}} \\ = (4)(3) \\ = 12\)

Answer 21

Thank you! The answer I got was 30... is that correct?

Answer 22

Correct

Answer 23

thank you!