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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 as

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

ii. Form the largest four digit where two digits can be repeated twice.

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

What are the numbers? (3 marks)


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Solution

The given digits are: 4, 3, 8 and 1
We know, 8 > 4 > 3 > 1

Four digit greatest number with no repetition of digits, is 8431 (1 mark)

Four digit greatest number where a digit can be repeated twice 8844 (1 mark)

Smallest four digits where repetition of digits is allowed - 111 (1 mark)


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