P(n,6)=3p(n,5) what is the value of n.

n = 10

Step-by-step explanation:

3n1!/(n-4)! = (n-1)!/( n-1-5)

3n(n-1)(n-2)(n-3)(n-4) / N-4 case1 ( cancel ( n-4) from top and bottom)

= (n-1)(n-2)(n-3)(n-4)(n-5)(n-6) / n-6 case 2 ( Cancel n-6 from top and

                                                                                 bottom and also cancel n-1,

                                                                                  n-2, n-3 with case 1)

3n = ( n-4)(n-5)

3n = n² - 5n - 4n + 20

3n =  n² - 9n + 20

0 = n² - 9n - 3n + 20

0 = n² - 12n + 20

0 = (n-2)(n-10)

n = 2  ( not valid)       n = 10

Therefore n = 10

The first one the p=30 ft  and a=15 ft and the second one is p=26 km and a= 36 km