How many combinations of 6-digit number in between 000001 to 999999 that contains the number 1 or multiples of digit 1? The 6 digit number is in between 000001 come 999,999. The combinations have to contain at the very least 1 digit of "1" or multiples of number "1" such together 000010, 013141, 001268, 161113, and so on
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You are watching: Number of combinations of 6 numbers

we will find how many numbers save on computer no ones:

There space 9 options 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 sixth digits.

Applying the basic counting theorem there room 9x9x9x9x9x9 different numbers v no ones ; `9^6=531441` .

We...

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We will uncover how many numbers save no ones:

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

Simarly there room 9 choices for the second, third, fourth, fifth,and sixth digits.

Applying the an essential counting to organize there space 9x9x9x9x9x9 various numbers through no persons ; `9^6=531441` .

We deserve to use the an essential counting to organize to discover the total variety of 6 digit numbers: 10x10x10x10x10x10-1 (000000 is not allowed). Therefore there are `10^6-1=999999` various numbers.

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There space 999999-531441=468558 different numbers through at the very least one 1 in them.

See more: What Is The Last Step In The Boot Process, The Computer Boot Process And Terms Flashcards

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