Answer
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Hint: In this question, we have to form any three numbers with \[8\] digits from given six digits.
We need to form numbers with \[8\] digits from given six digits so we need to put any two digits twice. Thus we only have to put any two digits twice and form three numbers.
Complete step-by-step solution:
The given digits are \[4,5,6,7,8\] and \[9\].
We need to form any three numbers each with \[8\] digits and put commas for easy reading.
Now, for making three numbers with eight digits we need to put two digits twice as we only have six digits in the question.
Thus the three numbers can be
i)\[45678989\]
ii)\[45456789\]
iii)\[45676789\]
By using commas the three numbers can be written as,
i)\[4,56,78,989\]
ii)\[4,54,56,789\]
iii)\[4,56,76,789\]
Hence the required numbers are \[4,56,78,989\], \[4,54,56,789\], \[4,56,76,789\].
Note: We can observe that,
A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. The same sequence of symbols may represent different numbers in different numeral systems.
The Indian numbering system is used in the Indian subcontinent to express large numbers. The terms lakh\[\left( {1,00,000} \right)\] and crore \[\left( {1,00,00,000} \right)\] are the most commonly used terms to express large numbers in the system.
In the Western system, the next powers of ten are called one hundred thousand, one million, ten million, one hundred million, one billion, and so on.
One million=\[10,00,000\]=one lakh
One billion=\[1,00,00,00,000\] =Hundred crores.
We need to form numbers with \[8\] digits from given six digits so we need to put any two digits twice. Thus we only have to put any two digits twice and form three numbers.
Complete step-by-step solution:
The given digits are \[4,5,6,7,8\] and \[9\].
We need to form any three numbers each with \[8\] digits and put commas for easy reading.
Now, for making three numbers with eight digits we need to put two digits twice as we only have six digits in the question.
Thus the three numbers can be
i)\[45678989\]
ii)\[45456789\]
iii)\[45676789\]
By using commas the three numbers can be written as,
i)\[4,56,78,989\]
ii)\[4,54,56,789\]
iii)\[4,56,76,789\]
Hence the required numbers are \[4,56,78,989\], \[4,54,56,789\], \[4,56,76,789\].
Note: We can observe that,
A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. The same sequence of symbols may represent different numbers in different numeral systems.
The Indian numbering system is used in the Indian subcontinent to express large numbers. The terms lakh\[\left( {1,00,000} \right)\] and crore \[\left( {1,00,00,000} \right)\] are the most commonly used terms to express large numbers in the system.
In the Western system, the next powers of ten are called one hundred thousand, one million, ten million, one hundred million, one billion, and so on.
One million=\[10,00,000\]=one lakh
One billion=\[1,00,00,00,000\] =Hundred crores.
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