Make the greatest and the smallest 4-digit numbers using any four different digits with condition, that is digit 7 is always at ones place.

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Solution

We need to make the greatest and the smallest 4-digit numbers using any four different digits with the conditions as given below:

Digit 7 is always at one’s place.

We know that,

9 > 8 > 7 > 6 > 5 > 4 > 3 > 2 > 1 > 0
So Clearly,
The greatest number would be:
9867
And, the smallest number would be:
1027

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a.) Largest 4-digit number using any four different digits with digit 5 always at the tens place	i.)1032
b.) Largest 4-digit number formed from the digits 5, 0, and 7 by using any one digit twice	ii.)3399
c.) Smallest 4-digit number using any four different digits with digit 2 always at the ones place	iii.)7750
d.) Smallest 4-digit number formed using the digits 3 and 9 equal number of times	iv.)9857

\begin{matrix} a.) Largest 4-digit number using any four different digits with digit 5 always at the tens place & i .) 1032 b.) Largest 4-digit number formed from the digits 5, 0, and 7 by using any one digit twice & i i .) 3399 c.) Smallest 4-digit number using any four different digits with digit 2 always at the ones place & i i i .) 7750 d.) Smallest 4-digit number formed using the digits 3 and 9 equal number of times & i v .) 9857 \end{matrix}

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