A person X has four notes of 1, 2, 5, and 10 | vedclass

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(B) To find the number of different sums of money that can be formed using four distinct notes,we consider all possible non-empty combinations of thes

Vedclass · Accepted Answer

$15$

Vedclass · Answer

(B) To find the number of different sums of money that can be formed using four distinct notes,we consider all possible non-empty combinations of these notes.Since each note is distinct,choosing any subset of the four notes will result in a unique sum.The total number of non-empty subsets of a set of $4$ elements is given by $2^n - 1$,where $n = 4$.Number of different sums $= 2^4 - 1 = 16 - 1 = 15$.Alternatively,this can be calculated as the sum of combinations of taking $1, 2, 3,$ or $4$ notes at a time:Number of sums $= {^4C_1} + {^4C_2} + {^4C_3} + {^4C_4} = 4 + 6 + 4 + 1 = 15$.

$A$ person $X$ has four notes of $1, 2, 5,$ and $10$ denominations. The number of different sums of money she can form from them is

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