How many combinations of 6-digit number between 000001 to 999999 that includes the digit 1 or multiples of digit 1? The 6 digit number is between 000001 come 999,999. The combinations must contain at least 1 number of "1" or multiples of number "1" such as 000010, 013141, 001268, 161113, etc
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You are watching: How many combinations with 6 numbers 1-6

we will find how many numbers contain no ones:

There space 9 choices of numbers for the very first digit: 0,2,3,4,5,6,7,8,9

Simarly there space 9 choices for the second, third, fourth, fifth,and 6th digits.

Applying the basic counting theorem there space 9x9x9x9x9x9 various numbers v no people ; `9^6=531441` .

We...

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We will find how countless numbers save on computer no ones:

There space 9 selections of numbers because that the very first digit: 0,2,3,4,5,6,7,8,9

Simarly there are 9 choices for the second, third, fourth, fifth,and 6th digits.

Applying the an essential counting to organize there are 9x9x9x9x9x9 different numbers with no ones ; `9^6=531441` .

We deserve to use the basic counting organize to find the total variety of 6 digit numbers: 10x10x10x10x10x10-1 (000000 is no allowed). For this reason there room `10^6-1=999999` different numbers.

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There are 999999-531441=468558 various numbers with at least one 1 in them.

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