A multi level marketing devised a training program by which a trainer could convince 40 persons every 60 minutes he conducts the program. And in the next 60 minutes those each of those 40 persons will convince 40 persons. If this process is repeated how many people can be trained/convinced by the company in 300 minutes?

a)2560000 b) 102400000 c) 64000 d) 5120000

• n first 60 min convinced persons = 40
  in next 60 min convinced persons = 40*40
  similarly in next 3 intervals no of convinced persons = 40^3, 40^4, 40^5
  so total persons convinced in last 60 min = 40^5 = 102400000
  and total no of convinced persons = 40+1600+64000+2560000+102400000
  = 105025640
  
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