how many different 6 digit numbers can be formed using digits in the number 659942? how many of them are divisible by 4?
Answers
360 different 6 digit numbers can be formed using digits in the number 659942 , 96 of them are divisible by 4
Step-by-step explanation:
6 digit numbers can be formed using digits in the number 659942
6 digit are there , but 9 is repeated twice
= 6!/2!
= 360 Numbers
Number would be divisible by 4 if last two digits are divisible by 4
Hence number ending with
24 , 52 , 56 , 64 , 92 , 96 are divisible by 4
Taking each case
Last two digit 24 then possible numbers 4!/2! = 12
Last two digit 52 then possible numbers 4!/2! = 12
Last two digit 56 then possible numbers 4!/2! = 12
Last two digit 64 then possible numbers 4!/2! = 12
Last two digit 92 then possible numbers 4! = 24
Last two digit 96 then possible numbers 4! = 24
Hence number divisible by 4 = 12 + 12 + 12 + 12 + 24 + 24
= 96
360 different 6 digit numbers can be formed using digits in the number 659942 , 96 of them are divisible by 4
Learn more:
How many numbers formed with the digits0, 1, 2, 5, 7, 8 will fall ...
https://brainly.in/question/12803929
How many three-digit even numbers which are divisible by 11 also ...
https://brainly.in/question/12862192
How many three digit numbers which are neither divisible by 4 nor 5 is
https://brainly.in/question/13181275