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If one person sends the e-mail to two friends, asking each
of them to copy the mail and send it to two of their
friends, those in turn send it to two of their friends and
so on.
How many e-mails would have been sent by the time it did 30
sets?
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Answer / guest
2147483646
First person sent the mail to 2 persons. Those 2 sent the
mail to 2 persons each, total 4 persons. Now, those 4 person
sent mail to total 8 persons, then 8 to 16 persons, 16 to 32
persons and so on.... Hence, it a series of 2, 4, 8, 16, 32
upto 30 numbers
It is a Geometric series with common ratio 2 and first
number is also 2. Summation of such series is given by A *
(Rn - 1) / (R - 1) where
A = First term
R = Common Ratio
n = total numbers
So total number of times mail sent by the time it did 30 sets
= 2 * (230 - 1) / (2 - 1)
= 2 * (1073741824 - 1)
= 2 * 1073741823
= 2147483646
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