# Four 100 rupees notes and five notes each of rupees, five rupees, twenty rupees and fifty rupees are distributed among 3 children, such that a child gets at least one 100 rupee note. The number of ways of distributing is..

A. $3 \times {5^3}$

B. ${3^3} \times 5$

C. ${3^6}$

D. None

Last updated date: 27th Mar 2023

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Answer

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307.5k+ views

Hint- In the following question we have to find the ways of distributing the money among 3 children so we must read the question and try to put it logically that way we will be able to find the solution and we will understand the basic logic of exponents and powers which should not be ignored as it the backbone of this question.

“Complete step-by-step answer:”

We should know that there is a simple way of finding the solution see we are given that one note of rupees 100 is to be given to each child, now we have 6 different notes with each note having three choices (3 children) so:

There should be ${3^6}$ ways of finding the solution as we can see this logically and this is the only legit way of distributing the notes.

Hence, option C is the correct answer.

Note-In this question it should be noted that we have to use the basic method of exponents and powers and the correct way of arranging them also we should be aware that in such questions there is only one way of arranging the powers like we did right now by arranging notes and students also one must remember always that we can be confused by the options so one must know the basics of exponents and powers so he will be able to answer the question with ease.

“Complete step-by-step answer:”

We should know that there is a simple way of finding the solution see we are given that one note of rupees 100 is to be given to each child, now we have 6 different notes with each note having three choices (3 children) so:

There should be ${3^6}$ ways of finding the solution as we can see this logically and this is the only legit way of distributing the notes.

Hence, option C is the correct answer.

Note-In this question it should be noted that we have to use the basic method of exponents and powers and the correct way of arranging them also we should be aware that in such questions there is only one way of arranging the powers like we did right now by arranging notes and students also one must remember always that we can be confused by the options so one must know the basics of exponents and powers so he will be able to answer the question with ease.

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