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?
Answers
Answer:
i. 8431
ii. 8844
iii. 1111
I wrote these numbers by following the rules mentioned in the question.
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Answer:
(1) 8431
(2) 8844
(3) 1111
Step-by-step explanation:
Given digits are 4,3,8,1
(i)Form the largest four-digit number with no repetition of digits.
To get the largest number, without repeating digits, we should write the digits in the descending order.
Without repeating the digits the largest four-digit number can be formed = 8431
(ii) Form the largest four-digit where two digits can be repeated twice.
To get the largest four-digit number, where two digits are repeating we should choose the largest of the two digits and write it with descending order
The largest four-digit number with two digits repeating twice =8844
(iii)Form the smallest four-digit number where repetition of digits is allowed four times.
To ger the smallest four-digit number with repetition of digits 4 times, is obtained by repeating the smallest digit four times
Hence the four-digit number with repeating digits 4 times =1111
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