How to form greatest numbers using given digits without repetition

.
Rule 1- Write the digit in decending order from left to right.
e.g .) Form the greatest number using the digit 5,8,1,9 .
greatest number - 9851 .

How to form smallest numbers using given digits without repetition .


Rule 1 - When the digit does not contain 0 , write the digit in ascending order from left to right.
e.g ) Form the smallest number using the digit 5,8,1,9 .
1589 - smallest number .
Rule 2) When the digits contain 0 .
Since the number cannot start with 0, 0 must be in put at the second position from the left i.e to the right of the smallest digit when forming the smallest number . e.g ) Form the smallest number using the digit 5,0,1,9 .
1059 - smallest number .

How to form greatest numbers using given digits with repetition

.
Rule 1- Write the digit in decending order from left to right.
repeat the digit with maximum value at the remaining places at the left position. e.g .) Form the greatest 7-digit number using the digit 5,8,1,9 .
greatest number - 9999851 .

How to form smallest numbers using given digits with repetition .


Rule 1 - When the digit does not contain 0 , write the digit in ascending order from left to right.
Repeat the digit with minimum value at the remaining place at the left position. e.g ) Form the 7-digit smallest number using the digit 5,8,1,9 with repetition .
1111589 - smallest number .
Rule 2) When the digits contain 0 .
Since the number cannot start with 0, 0 must be in put at the second position from the left i.e to the right of the smallest digit when forming the smallest number . Put the smallest digit at the left end and the remaining digit at the right end.
Repeat 0 at the remaining positions.
e.g ) Form the 7-digit smallest number using the digit 5,0,1,9 .
smallest no without repetition = 1059 . Put 1 at the left end and 59 at the right end. Repeat 0 at the remaining position. 1000059 - smallest number .

Q1.   Difference between greatest and smallest 3 digit numbers using the digits 5,8,1 without repeating the digit is ? .

 

Q2.   Greatest 4 digit number using the digits 6,0,9,2 without repeating the digit is .

 

Q3.   Smallest 6 digit number using the digits 8,3,1,5,6,2 without repeating the digit is .

 

Q4.   Smallest 5 digit number using the digits 5,0,6,4,1 without repeating the digit is .

 

Q5.   Difference between greatest and smallest 5 digit number using the digits 5,0,6,4,1 without repeating the digit is .

 

Q6.   Sum total of greatest and smallest 4 digit number using the digits 9,6,4,2 without repeating the digit is .

 



Marks =