A box have 100 balls. Each one is different. One boy can take atleast 1, atmost 100 balls. How many WAYS can he take balls ?
( clarification: Taking ball 1 then ball 2 = Taking ball 2 then ball 1 )
2026-03-27 23:14:22.1774653262
A box has 100 different balls. No of Balls that can be selected = 1 to 100. How many ways can we select?
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Each ball is either picked or not, so for each ball we have two possibilities, and so the total number of possible draws is $2^{100}$.
From that we need to subtract one way of picking where none of the balls got picked.
This leaves us with $2^{100}-1$ ways altogether.