Page 190 - New Medley 2 Semester 1
P. 190

Example 6: Make  the  greatest  and  smallest  three  digit  number
                                  by  using  digits  7,  0  and  2.  Repetition  of  digits  is

                                  allowed.
               Solution:


               Let  us  first  write  the  greatest                  Now  let  us  write  the  smallest
               number.                                               number.
                                                                     We arrange the digits in ascending
               We arrange the digits in descending
                                                                     order.
               order.
                                                                                   0, 2 and 7
                              7, 2 and 0
                                                                     0 is the smallest, but if we write
               7  is  the  greatest,  so  we  write  it              0 in hundreds place, our number

               at hundreds place.                                    will become a two digit number.
                                                                     So  0  cannot  be  used  here.  We
                                  H    T    O
                                                                     still have the digits 2 and 7.
                                  7                                  Out  of the  digits 2 and  7, 2 is

                                                                     the  smaller  digit,  so  we  write  2
               We  still  have  7,  2  and  0  as  we                in hundreds place.
               are allowed to repeat.
                                                                                        H    T    O
               We know that 7 is the greatest.
                                                                                        2
               We write 7 in tens place also.


                                  H    T    O                        We still have 0, 2 and 6.

                                  7 7                                We know that 0 is the smallest.
                                                                     We write 0 in tens place.
               We  still  have    7,  2  and  0  as  we
                                                                                        H    T    O
               are allowed to repeat.
                                                                                        2 0
               We know that 7 is the greatest.
               We write 7 in ones place also.                        We still have 0, 2 and 7.


                                  H    T    O                        We know that 0 is the smallest.

                                  7 7 7                              We write 0 in ones place.

                                                                                        H    T    O

                                                                                        2 0 0



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