Which distance is closer to 13 AB or CD

Mathematics

2 answers:

Dmitriy789 [7]3 years ago

7 0

It’s CD because it’s a longer line

jonny [76]3 years ago

5 0

CD I hope this is correct

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How many ten-digit numbers have at least two equal digits?

hammer [34]

Answer:

8,996,734,079 numbers

Step-by-step explanation:

First let's find the number of ten-digit numbers.

The maximum ten-digit number is 9,999,999,999 and the minimum is 1,000,000,000. So the number of ten-digit numbers is:

$N(total) = 9999999999 - 1000000000 = 8,999,999,999$

Now, to find the number of ten-digit numbers with at least two equal digits, we can find the number of ten-digit numbers with all digits different, and then subtract this amount from the total ten-digit numbers.

To find the number of ten-digit numbers with all digits different, we can use the following logic:

The first digit can have 9 different values (0 not included), the second can also have 9 (one digit used), then the third can have 8 (two digits used), the fourth can have 7, and so on. So we have that:

$N(different) = 9*9! = 3,265,920$