Question

Ram and Shyam were playing. Ram asks Shyam to form numbers with the digits $4,3,8$ and $1$. He gives him three different cases:

i. Form the largest four digit number with no repetition of digits.

ii. Form the largest four digit number where a digit can be repeated twice.

iii. Form the smallest four digit number where repetition of digits is allowed.

So the numbers formed in the three cases will be

• A. i-8431, ii-8443, iii-1111
• B. i-8431, ii-8843, iii-1111
• C. i-8413, ii-8344, iii-1348
• D. i-8431, ii-8334, iii-1341

Answer 1

Given digits are $4,3,8$ and $1$.

(i). The largest four digit number with no repetition of digits is $8431$.

(ii). The largest four digit number where a digit can be repeated twice is $8844$.

(iii). The smallest four digit number where repetition of digits is allowed is $1111$.

The correct option is D i-$8431$, ii-$8844$, iii-$1111$.