3. Make the greatest and the smallest 4-digit numbers using any four different digits with conditions as given.

(a) Digit 7 is always at one's place  
              Greatest - 9 8 6 7
              Smallest - 1 0 2 7
                   (Note, the number cannot begin with the digit 0. Why?)
             
(b) Digit 4 is always at tens place 
                  Greatest - _ _ 4 _
                   Smallest - _ _ 4 _

(c) Digit 9 is always at hundreds place  
                   Greatest - _ 9 _ _
                    Smallest - _ 9 _ _
(d) Digit 1 is always at thousands place 
                    Greatest- 1 _ _ _
                     Smallest - 1 _ _ _

Answers (1)

(b) Digit 4 is always at tens place 
                  Greatest - 9847
                  Smallest - 1042


(c) Digit 9 is always at hundreds place  
                   Greatest - 8976
                   Smallest - 1902 


(d) Digit 1 is always at thousands place 
                    Greatest- 1987
                    Smallest - 1023

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