(Q). A fruit basket has ‘k’ different types of fruit and each type has ‘n’ number of fruits. In how many ways at least 1 fruit can be selected from the fruit basket?
Solution:-
0 or more fruits can be selected from type 1 in (n+1) ways
0 or more fruits can be selected from type 2 in (n+1) ways
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0 or more fruits can be selected from type k in (n+1) ways
Hence number of ways to select 0 or more fruits = (n+1)ᵏ
Hence total number of ways to select at least 1 fruit
= (n+1)ᵏ – 1 Answer