Question

solve the given problem!!!!!!!!​

Answer 1

Answer:

15

Step-by-step explanation:

we have,

16× nP3 = 13× (n+1)P3

we know formula is, nPr = n!/(n-r)!

so, 16× n!/(n-3)! = 13× (n+1)!/(n+1-3)! =>16× n(n-1)(n-2)(n-3)!/(n-1)! = 13×(n+1)!/

(n-2)!

=>16n(n-1)(n-2) = 13(n+1)n(n-1)(n-2)!/(n-2)!

16(n-2) = 13(n+1)

16n-32 = 13n+13

3n = 45

so, n = 15 .... ans.