Question

find the numbers of permutations 10P6

Answer 1

do you have any ideas on the first step?

Answer 2

\[_{10} P _{6}\]

Answer 3

no

Answer 4

Are you familiar with the permutation formula?

Answer 5

no

Answer 6

If not, the permutation formula is


n P r = (n!)/((n-r)!)


where n! means n! = n*(n-1)*(n-2)*...*3*2*1


For example: 6! = 6*5*4*3*2*1

Answer 7

So in our case, 10 P 6 is


10 P 6 = (10!)/((10-6)!)


since n = 10 and r = 6

Answer 8

Can you take it from here or do you need more help?

Answer 9

yes i need more help please

Answer 10

(10!)/((10-6)!)

will become

(10!)/(4!)


since 10-6 = 4

Answer 11

Then you expand out 10! like so


10*9*8*7*6*5*4!


We stop at 4 because the "4!" terms will cancel


So (10!)/(4!)

turns into

(10*9*8*7*6*5*4!)/(4!)


and the "4!" terms will cancel leaving us with 10*9*8*7*6*5

Answer 12

Last step is to multiply out 10*9*8*7*6*5 to get your answer