0
Find the number of seven-digit numbers such that every number is divisible by 125 no number contains a zero and no digit appears more that once in the number?
This seems to be a pretty tough question. Seven digit numbers range from 1,000,000 to 9,999,999. There are 9,000,000 of them. The number of these divisible by 125 will be 9,000,000/125 which is 72,000.
If no number contains a zero, and all the digits are different, then we know two things:
- Since multiples of 125 will end in 5 or 0, our numbers will all end in 5.
- The other 6 digits must be chosen the eight digits 1,2,3,4,6,7,8,9.
How many ways can you choose 6 things out of 8? This is 8C6. The number of arrangements of these 6 things would be 8P6. How are you doing so far - if you're with me then resubmit your question starting with "Please continue to find the number ..."
What else can I help you with?
How many numbers between 1 and 600 are divisible by 2 and 3?
between 1 and 600 inclusive there are:300 numbers divisible by 2200 numbers divisible by 3100 numbers divisible by both 2 and 3400 numbers divisible by 2 or 3.
What numbers is divisible by 20304?
The list of numbers that are divisible by 20,304 is infinite.
What numbers are not divisible by 7?
There is an infinite number of numbers that are not divisible by seven!
What are all the divisible by 5?
The numbers that are divisible by 5 has 5 or 0 at the end.So,this numbers are divisible by 5.5,10,15,25,555,10000,etc.
What are all the numbers divisible by 2?
All the even numbers are divisible by 2.
Which numbers are divisible?
All numbers are divisible by 1.
Why are prime numbers divisible?
Prime numbers are divisible because any numbers that are divisible are prime. If a number isn't divisible, it isn't prime. Prime numbers have to be divisible by at least one pair of numbers to be prime.
What are numbers that are divisible?
All whole numbers are divisible. If you mean divisible by numbers other than 1 and themselves, the answer is the set of composite numbers.
How many numbers between 1 and 600 are divisible by 2 and 3?
between 1 and 600 inclusive there are:300 numbers divisible by 2200 numbers divisible by 3100 numbers divisible by both 2 and 3400 numbers divisible by 2 or 3.
Are all numbers that are divisible by 9 divisible by 3?
Yes; all numbers that are divisible by 9 are divisible by 3.
What numbers aren't divisible by any number?
All numbers are divisible.
What numbers are divisible by 87?
the numbers divisible by 87 are 1,3,29, and 87
What numbers are divisible by 15080?
The list of numbers that are divisible by 15,080 is infinite.
What numbers are divisible by 511?
An infinite number of numbers are divisible by 511
Which numbers are not divisible by 2?
They are odd numbers that are not evenly divisible by 2
What numbers are not divisible by 7?
There is an infinite number of numbers that are not divisible by seven!
What numbers is divisible by 20304?
The list of numbers that are divisible by 20,304 is infinite.
