Question

7pr=60×7Pr-3=60 find r plz help me

Answer 1

r = 5  if    ⁷Pₙ   = 60  * ⁷Pₙ₋₃  (n = r)

Step-by-step explanation:

Let say r = n

⁷Pₙ   = 60  * ⁷Pₙ₋₃

=> 7!/(7 - n)!  = 60  * 7!/(7 - (n-3))!

=> 7!/(7 - n)!  = 60  * 7!/(10-n)!

=> 7!/(7 - n)!  = 60  * 7!/(10-n)(9 - n)(8-n)(7-n)!

=> (10-n)(9 - n)(8-n) = 60

n = 5  Will Satisfy this Equation

as (10 - 5)(9 - 5)(8 - 5)

= 5 * 4 * 3

= 60

=>n = 5

r = n

=> r = 5

⁷P₅  = 60 * ⁷P₅₋₃

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