### Mathematical Puzzle

Apply your calculative skills to find out the answer to this maths puzzle.

Every man or woman alive today had 2 parents, 4 grand-parents, 8 great-grand parents, 16 great-great-grand parents, 32 great, great, great grand parents and so on.

Let us take the case of Ram. Two generations ago Ran had 2 x 2 or 2^{2}, or 4 ancestors. Three generations ago he had 2 x 2 x 2 or 2^{3 }or 8 ancestors. For generations ago he had 2 x 2 x 2 x 2 or 2^{4 }or 16 ancestors.

Assuming that there are 20 years t o a generation, can you tell 400 years back how many ancestors did Ram have?

NO OF ANCESTORS WOULD BE 2^20=1048576

since 400 years..so the no of generations would be 20:

den no of ancestors would be 2^20=45056