# A Problem of Family Relations

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 age 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?

3 Comments

i think debatra is correct.

2^21

2^19