A book has $2^{8}$ pages and each page has $2^{6}$ words. Total number of words in the book is

A book has $2^{8}$ pages and each page has $2^{6}$ words. Total number of words in the book is
  1. $2^{14}$
  2. $2^{48}$
  3. $2^{2}$
  4. $2^{16}$

Solution

Total $= 2^{8} \times 2^{6} = 2^{14} = 16384$.

Asked in: IMO

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