Kim and Sim were playing. Kim asks Sim to form numbers with the digits 4, 0, 7 and 1. She gives her three different cases as:
i. Form four digit greatest numbers with no repetition of digits.
ii. Form four digit greatest number where one digit can be repeated twice.
iii. Form smallest four digit number where repetition of digits is allowed. So the numbers formed in the three cases will be
i-7410, ii-7741, iii-1000
The greatest number that can be formed with no repetition of digits: 7410
The greatest number that can be formed with the repetition of one digit twice: 7741
The smallest number that can be formed by repeating all the digits: 1000