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 .
Exercise
1. Form the largest and smallest number using the following digit without repetition.
a)digit 8,3,2,1
Largest Number=
Smallest Number=
b) 9,3,5,7,6
Largest Number=
Smallest Number=
c) 5,6,4
Largest Number=
Smallest Number=
d) 5,0,6,1
Largest Number=
Smallest Number=
e) 9,3,0,5,1
Largest Number=
Smallest Number=
f) 3,0,5
Largest Number=
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 .
a)digit 8,3,2,1
Largest Number=
Smallest Number=
b) 9,3,5,7,6
Largest Number=
Smallest Number=
c) 5,6,4
Largest Number=
Smallest Number=
d) 5,0,6,1
Largest Number=
Smallest Number=
e) 9,3,0,5,1
Largest Number=
Smallest Number=
f) 3,0,5
Largest Number=
Smallest Number=