Permutation Combination

Number greater than 1000 but less than 4000 is formed using the digits 0, 2, 3, 4 when repetition allowed is

  1. 105
  2. 125
  3. 128
  4. 625

Answer

Let number of digits formed x.

1000 < x < 4000, which means left extreme digit will be either 2 or 3.

Required numbers = 2C1 × HTU

where H = Hundred's place, T =  Ten’s place, and U = Unit's place

2C1 x 4 x 4 x 4 = 128

The correct option is C.