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Question

The largest five digit number which can be formed using the digits 7, 8, 5, 4 and 9, if the repetition of digits is not allowed is

A
98754
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B
89457
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C
45789
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Solution

The correct option is A 98754
Since we are required to form the largest 5 digit number, the leftmost digit at ten-thousand's place must be the largest out of the 5 given digits, that is, 9.

Similarly, we can say,
Digit at thousands' place = largest digit after 9 = 8
Digit at hundreds' place = largest digit after 9 and 8 = 7
Digit at tens' place = largest digit after 9, 8 and 7 = 5
Digit at ones' place = remaining digit = 4

Placing the digits at their respective places we get 98754

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