# Find the difference between the largest and the smallest 6- digit numbers formed by the digits \[{\mathbf{8}},{\mathbf{0}},{\mathbf{2}},{\mathbf{7}},{\mathbf{5}}\;\,\,\& \,\,{\mathbf{9}}\].

Answer

Verified

366.9k+ views

Hint : Follow sequence in largest and smallest taking care of zero in smallest.

Given numbers are \[8,0,2,7,5\;,\;9\].

If given digits are allowed to repeat any digit then, the largest number is $9$.

Then the greatest number is \[9,99,999\].

Smallest number is \[2,00,000\;\]and difference is

\[9,99,999 - 2,00,000 = 7,99,999\]

If repeating of the digit is not allowed then the greatest number will be selected in sequence in descending order as first number must be greatest of all then second greatest number will be at second place and so on we will go.

Therefore on doing the above mentioned procedure we get the number as \[9,87,520\]

And the smallest number will be in ascending order but the first number will not be zero since we have to write the six digit number so the first number will be next smallest here it is $2$ then proceeding by this method we get the smallest number as \[2,05,789\].

Then difference of numbers is

\[9,87,520 - 2,05,789 = 7,81,731\].

Note :- In these types of questions of finding largest or smallest we have to go in descending or ascending order of number keeping in mind the zero that if it is placed at first position then the number of digits in the number will be lesser than the expected one.

.

Given numbers are \[8,0,2,7,5\;,\;9\].

If given digits are allowed to repeat any digit then, the largest number is $9$.

Then the greatest number is \[9,99,999\].

Smallest number is \[2,00,000\;\]and difference is

\[9,99,999 - 2,00,000 = 7,99,999\]

If repeating of the digit is not allowed then the greatest number will be selected in sequence in descending order as first number must be greatest of all then second greatest number will be at second place and so on we will go.

Therefore on doing the above mentioned procedure we get the number as \[9,87,520\]

And the smallest number will be in ascending order but the first number will not be zero since we have to write the six digit number so the first number will be next smallest here it is $2$ then proceeding by this method we get the smallest number as \[2,05,789\].

Then difference of numbers is

\[9,87,520 - 2,05,789 = 7,81,731\].

Note :- In these types of questions of finding largest or smallest we have to go in descending or ascending order of number keeping in mind the zero that if it is placed at first position then the number of digits in the number will be lesser than the expected one.

.

Last updated date: 27th Sep 2023

â€¢

Total views: 366.9k

â€¢

Views today: 9.66k

Recently Updated Pages

What do you mean by public facilities

Slogan on Noise Pollution

Paragraph on Friendship

Disadvantages of Advertising

Prepare a Pocket Guide on First Aid for your School

What is the Full Form of ILO, UNICEF and UNESCO

Trending doubts

How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

Summary of the poem Where the Mind is Without Fear class 8 english CBSE

The poet says Beauty is heard in Can you hear beauty class 6 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Difference Between Plant Cell and Animal Cell

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

What is the past tense of read class 10 english CBSE

The equation xxx + 2 is satisfied when x is equal to class 10 maths CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE