What is the total no of ways of selecting atleast one item from each of the two sets containing 6 different items each?

Q: What is the total no of ways of selecting atleast one item from each of the two sets containing 6 different items each?

We can select atleast one item from 6 different items = 2 6 - 1 Similarly we can select atleast one item from other set of 6 different items in 2 6 - 1 ways. Required number of ways = ( 2 6 - 1 ) 2 6 - 1 = 2 6 - 1 2 = 3969

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We can select atleast one item from 6 different items = $26 - 1$

Similarly we can select atleast one item from other set of 6 different items in $26 - 1$ ways.

Required number of ways = $(26 - 1) 26 - 1 = 26 - 1 2$ = 3969

What is the total no of ways of selecting atleast one item from each of the two sets containing 6 different items each?

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