We have,
56Pr+654Pr+3=308001
56!(56−r−6)!54!(54−r−3)!=308001
56×55×54!(50−r)!54!(51−r)!=308001
3080×(51−r)!(50−r)!=30800
(51−r)(50−r)!(50−r)!=10
51−r=10
r=41
So, the value of r is 41.
If 56Pr+6:54Pr+3=30800:1, then r = 41