Question

How many six-digit numbers do not have 3 consecutive digits the same?

A) 72,900
B) 48,600
C) 81,000
D) 64,800

Answer 1

There are 531,441 six-digit numbers that do not have 3 consecutive digits the same.

Step-by-step explanation:

To find the number of six-digit numbers that do not have 3 consecutive digits the same, we can break down the problem into each position of the number.

For the first position, we have 9 choices (any digit except 0).

For the second, third, fourth, fifth, and sixth positions, we also have 9 choices.

Therefore, the total number of six-digit numbers that do not have 3 consecutive digits the same is 9 * 9 * 9 * 9 * 9 * 9 = 531,441.

So, the correct answer is not given in the options.