Four notes of Rs. 100 and one note each of Rs | vedclass

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(C) There are $4$ notes of Rs. $100$. Since each of the $3$ children must receive at least one Rs. $100$ note,we first distribute $3$ notes of Rs. $10

Vedclass · Accepted Answer

$3^6$

Vedclass · Answer

(C) There are $4$ notes of Rs. $100$. Since each of the $3$ children must receive at least one Rs. $100$ note,we first distribute $3$ notes of Rs. $100$ to the $3$ children (one each). This can be done in $1$ way.Now,we have $1$ note of Rs. $100$ remaining and $5$ other distinct notes (Rs. $1$,Rs. $2$,Rs. $5$,Rs. $20$,Rs. $50$).Total remaining notes to distribute = $1 + 5 = 6$ notes.Each of these $6$ notes can be given to any of the $3$ children.Therefore,each note has $3$ choices.The total number of ways to distribute these $6$ notes is $3 	imes 3 	imes 3 	imes 3 	imes 3 	imes 3 = 3^6$.

Four notes of Rs. $100$ and one note each of Rs. $1$,Rs. $2$,Rs. $5$,Rs. $20$,and Rs. $50$ are to be distributed among $3$ children such that each child receives at least one note of Rs. $100$. In how many ways can this distribution be done?

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