What are the financial numbers between hundred to thousand
Answers
Zubair Sabir Arain
Answered 2 years ago
How many numbers between 100 and 1,000 can be formed with the digits 0,2,3,4,6,8,9; and each digit occurring only once in a number?
A number between 100 and 1,000 means a three digit number.
Accordingly place value chart it can be written as:
Hundred - Ten - Unit
given digits are 0.2,3,4,6,8,9
As at unit digit the number which come must be a non-zero number otherwise that will not be lie between 100 and 1,000. Therefore, at Hundred place you can put any number among the given numbers except zero. (means total 6)
At Ten place you can put any of seven given number to make a third digit number but another condition that is given is that each digit occurring only once. Therefore, you can put only six number in the ten place because one digit will be at hundred place among them. (means again 6 digit)
At Unit place you can put any of seven given number but to satisfy the given condition we can not put all the given number because
Steve Antill
Answered 2 years ago
How many 3 digit number formed using 2,3,4?
This is a relatively simple permutation question, for which there is a formula we can follow. There are even online versions should you prefer not to calculate your own factorials.
It’s permutations we want, not combinations (the order matters in the former, which therefore means there are usually more permutations than combinations, and never fewer). If that’s not clear, for us the number 234 is a different answer to 432. Those are permutations.
So, the formula:
Where n = the number of items (here digits) we will choose from, and r = the number of items we will choose. In this case there are 3 numbers to choose from, and as we always want a three digit result, we are selecting 3.
n! is notation for factorial. This is a shorthand way of writing 1 x 2 x 3 … all the way up to whatever n represen
How many numbers between 100 and 1000 can formed using digit 0, 1, 2, 3, 4, 5, 6 assuming in any number., through digits are not repeat? Also find how many of these will be divisible by 5?
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Claire Ongley
Updated 2 years ago
How many numbers between 100 and 1000 can formed using digit 0, 1, 2, 3, 4, 5, 6 assuming in any number., through digits are not repeat? Also find how many of these will be divisible by 5?
I imagine what you are asking is how many numbers without repeating digits can be made from the digits 1–6 that are greater than 100 and less than 1000?
Part 2 is how many are divisible by 5?
There will be 180 numbers that can be made of the digits 0,1,2,3,4,5,6 between 100 and 1000.
An easy way of calculating this is shown below.
6x6x5=180
The first number cannot be zero. This would otherwise be 7 possibilities.
The digits can’t repeat and there are a maximum of 6 possibilities for the first number, 6 for the second and then 5 for the third.
Of these 180 possibilities, there are 6x5x2 numbers divisible by 5.
If you then discount how many of these are posiible below 100, you end up with 55.
55 numbers are divisble by 5.
EDIT: Fixed my horrible maths for the second part.
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Anuj Shastri
Answered 2 years ago
How many number between 100 and 1000 can be formed with the digits 1, 2, 3, 4, 5, 6, and 7, with no digit being repeated?
Since we have to form numbers between 100 and 1000, we need to basically form 3 digit numbers.
_ _ _
So we need to fill these three blanks, by using the numbers available. And since none of them can be repeated, let us fill the first blank. We have 7 choices for the same. For the next blank, since we can't repeat any of the digits, the second blank has 6 choices as one has already been used. And similarly, we have only 5 choices for the third blank.
So the total count of numbers that can be formed are,
= 7 * 6 * 5 = 210.
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