How many combinations of 6-digit number between 000001 to 999999 that contains the digit 1 or multiples of digit 1? The 6 digit number is between 000001 to 999,999. The combinations must contain at least 1 digit of "1" or multiples of digit "1" such as 000010, 013141, 001268, 161113, etc
Who are the experts?Our certified Educators are real professors, teachers, and scholars who use their academic expertise to tackle your toughest questions. Educators go through a rigorous application process, and every answer they submit is reviewed by our in-house editorial team.

You are watching: How many combinations with 6 numbers 1-6


*

We will find how many numbers contain no ones:

There are 9 choices of numbers for the 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 fundamental counting theorem there are 9x9x9x9x9x9 different numbers with no ones ; `9^6=531441` .

We...


Start your 48-hour free trial to unlock this answer and thousands more. Enjoy julianum.net ad-free and cancel anytime.


We will find how many numbers contain no ones:

There are 9 choices of numbers for the 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 fundamental counting theorem there are 9x9x9x9x9x9 different numbers with no ones ; `9^6=531441` .

We can use the fundamental counting theorem to find the total number of 6 digit numbers: 10x10x10x10x10x10-1 (000000 is not allowed). So there are `10^6-1=999999` different numbers.

----------------------------------------------------------------------

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

See more: Can Too Much Miracle Gro Kill Plants ? Signs Of Over

--------------------------------------------------------------------


Approved by julianum.net Editorial Team

Ask a Question

Ask a Question
Submit Question

Popular Questions


See all

Related Questions

Browse All
Math

Latest answer posted November 11, 2013 at 1:46:54 AM


How many five digit counting numbers contain a 6?


1 Educator answer

Math

Latest answer posted September 12, 2010 at 2:54:04 AM


Determine the multiplicative inverse of the number (7+2i)/(6-3i).


5 Educator answers

Math

Latest answer posted June 09, 2012 at 6:27:44 PM


Sum of digits of a two-digit number is 14. If 29 is subtracted from the number the digits of the resulting number will be equal. Find the number.


1 Educator answer

Math

Latest answer posted October 09, 2013 at 12:06:02 AM


The least common multiple of a number "n" and 6 is 42. What are all of teh possible whole-number values for "n"?


1 Educator answer

Math

Latest answer posted November 20, 2010 at 10:03:42 AM


Find odd number with three digits. All digits are different and add up to 12. Difference between 1st two digits = difference between last two digits.


2 Educator answers
julianum.net will help you with any book or any question. Our summaries and analyses are written by experts, and your questions are answered by real teachers.

Join julianum.net


Apply to be an Educator

Recommended

More


©2021 julianum.net, Inc. All Rights Reserved