Ponder this for IBM

(1/14 + 1/24 + 1/40 + 1/80 + 1/48 + 1/64 + 1/64*6 + 1/144 + 1/192 + 1/192 + 1/144*16 + 1/128*6 + 1/32*48 + 1/4*32*120 + 1/128*620*7)

will be exactly equal to

(1/13 + 1/33 + 1/66 + 1/45 + 1/54 + 1/9*120 + 1/98 + 1/126 + 1/21*24 + 1/7*7! + 1/150 + 1/50*24 + 1/810 + 1/90*6 + 1/90*120 + 1/5*9! + 1/162*24 + 1/27*6*120 + 1/18*8! + 1/3*11! + 1/14! )

I had a strong feeling about it, but......

I got tired of calculating this sum even after 3-4 terms while solving this month's Ponder this challenge June 2009 at IBM's web page. This was forwarded by my very close friend Rama aka Ramky, and for solution we went in to deep discussion that night. Of course this discussion was sponsored by Nokia (connecting people)

I do agree with IBM people that it can be solved almost on the back of an envelope but for solving it based on human intuitions does need some checks and I was trying to attempt one of such checks above. Finally I had to go for induction to prove that our intuitions were on right track. Thankfully enough literature is available in form of theorems and problems for permutations which could be used here in solving this problem.

Anyways, my serious advice to you guys that if you are immersed in your work then don't try to attempt such problems. They will excite you with the dimensions they can take and others might find you out of this world !! Injurious for your love line until your love also loves it :)

Anyways...lets wait for the official release of the solution..... good night !!