The number of even numbers between 200 and 20,000 can be formed with the digits 0,1,2,3,4 when repetitions are not allowed is

3 digit even numbers greater than 200 using 0,1,2,3,4

       3                                           ending with 0 =  3×3=9

       2                                           ending with 2 =  2×3=6

                                                    Start with 3, 4

                                                   ending with 4 =  2×3=6

                                                    Start with 2,3

4 digit even numbers end with 0=  $4{\mathrm{P}}_3=24$

4 digit even numbers end with 2, 4 $=2(4{\mathrm{P}}_3-3{\mathrm{P}}_2)$=36

                 0, 1, 3, 4

4 digit even numbers begin with 1 = 3×3!=18

Total no of even numbers between 200, 20,000

             =9+6+6+24+36+18=99

                      Option (3)