Question Number 102269 by mohammad17 last updated on 07/Jul/20

if P_2 ^( n−m) =72  and P_2 ^( n+m) =210 find the value of m and n ?

Answered by Dwaipayan Shikari last updated on 07/Jul/20

(((n−m)!)/((n−m−2)!))=72  (n−m)(n−m−1)=72  a(a−1)=72    {take n−m as a    a=9    so   n−m=9  (((n+m)!)/((n+m−2)!))=210  (n+m)(n+m−1)=210  p(p−1)=210  {  take n+m as p    p=15    so n+m=15  so { ((n=12)),((m=3)) :}

Commented bymohammad17 last updated on 08/Jul/20

thank you