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if-P-2-n-m-72-and-P-2-n-m-210-find-the-value-of-m-and-n-




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 ?
ifP2nm=72andP2n+m=210findthevalueofmandn?
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)) :}
(nm)!(nm2)!=72(nm)(nm1)=72a(a1)=72{takenmasaa=9sonm=9(n+m)!(n+m2)!=210(n+m)(n+m1)=210p(p1)=210{taken+maspp=15son+m=15so{n=12m=3
Commented by mohammad17 last updated on 08/Jul/20
thank you
thankyou

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