Question

Choose 4 digits a, b, c, d from {2,0, 1, 6} and form the number (10a + b)206+For example, if a =
2, b = 0, c = 1, d = 6, we will get 2016. For all such choices of a, b, c, d the number of distinct
numbers that will be formed is.​

Answer 1

$\fbox{ ANSWER }$

he generalized forms of a few numbers are given below:

56 = 10 × 5 + 6;

37 = 10 × 3 + 7;

90 = 10 × 9 + 0;

129 = 100 × 1 + 2 × 10 + 9;

206 = 100 × 2 + 10 × 0 + 6;

700 = 100 × 7 + 10 × 0 + 0.