given the digits {1,1,2,5,5,5,6,7} how many even numbers less than 5 000 000 are there?

(and plzzzzz tell me how u got it )

To determine the number of even numbers less than 5,000,000 from the given set of digits {1, 1, 2, 5, 5, 5, 6, 7}, we need to consider the available digits and their positions.

First, let's analyze the possible values for each digit's position:

- For the millions place, the possible digits that can be used are 1, 2, 5, 6, and 7. However, since we are looking for numbers less than 5,000,000, the only valid option for this position is 1.

- For the hundreds of thousands place, thousands place, tens of thousands place, and thousands place, any of the given digits {1, 1, 2, 5, 5, 5, 6, 7} can be used. Therefore, there are 8 choices for each of these four positions.

- For the units place, we need to consider an even number. Since the number should be less than 5,000,000, the possible options for this position are {2, 4, 6}. However, we have already used one of the 6s for the ten-thousands place. Therefore, there are two options left: {2, 4}.

Now, we can multiply all the possibilities together to get the total number of even numbers less than 5,000,000:

1 (million place) × 8 (hundreds of thousands place) × 8 (tens of thousands place) × 8 (thousands place) × 2 (units place) = 1 × 8 × 8 × 8 × 2 = 1,024.

Therefore, there are 1,024 even numbers less than 5,000,000 using the given set of digits {1, 1, 2, 5, 5, 5, 6, 7}.