Table of Contents
- 1 How many 5 digit numbers can be formed using the digits 0 1 2 3 4 and 5 which are divisible by 5 without repetition of the digits?
- 2 How many 5 digit numbers can be formed from the digits 1 2 3 4 and 5 if repetition of digits is not allowed?
- 3 How many 5-digit number can be formed by using the digit 0 1 and 2?
- 4 How many 5 digit numbers can be formed from the integers?
- 5 How many 5 digit odd numbers can be formed from the digits 12345?
How many 5 digit numbers can be formed using the digits 0 1 2 3 4 and 5 which are divisible by 5 without repetition of the digits?
We need to subtract that numbers which contains 0 as first digit. If 0 is the first digit, then number of places left to be filled is 4 and that can be done in 4! ways. So, the 5 digits numbers that can be formed which ends with is 120 – 4!
How many 5 digit even numbers can be formed from the digits 0 1 2 3 and 4 if repetition of digits is not allowed?
We cannot take ‘O’ at 1000th place, so this place can be filled in 4 ways. Repetition of digits is allowed. ∴ Each place out of unit, 10th, 100th and 1000th can be filled in 5 ways. Total numbers =4×5×5×5×5=2500.
How many 5 digit numbers can be formed from the digits 1 2 3 4 and 5 if repetition of digits is not allowed?
Total Number of Numbers which can be formed by numbers 1,2,3,4,5 (without repeating digitsi) = 5*4*3*2*! = 5! = 120. Now, in half them unit’s digit will be bigger than the ten’s digit and in half of them it will be smaller.
How many 5-digit numbers can be formed using 12345?
Step-by-step explanation: Total numbers formed using 1, 2, 3, 4, and 5 without repetition is 5! = 120. But the sum of digits (= 1 + 2 + 3 + 4 + 5 = 15) of any number formed is divisible by 3. It means all 120 numbers formed are divisible by 3.
How many 5-digit number can be formed by using the digit 0 1 and 2?
Since, repetition is not allowed, for the next significant place, 4 digits are available (since 0 can now be used). Sum of the digits = 0 + 1 + 2 + 3 + 4 = 10 which is not divisible by 3. ∴ None of the 5-digit numbers formed using the digits 0, 1, 2, 3, and 4 will not be divisible by 3.
How many 5 digits numbers can be formed?
So, the number of 5-digit numbers that have zero as the first digit are 10 × 10 × 10 × 10 = 10,000. If we subtract these 10,000 ways from the overall 1,00,000 ways, we are left with 90,000. Therefore, there are 90,000 unique 5-digit numbers possible.
How many 5 digit numbers can be formed from the integers?
How many 5 digit even numbers can be formed?
The 5 digit even numbers can be formed out of 1, 2, 5, 5, 4 by using either 2 or 4 in the unit’s place. This can be done in 2 ways. Corresponding to each such arrangement, the remaining 4 places can be filled up by any of the remaining four digits in 4! / 2! = 12 ways.
How many 5 digit odd numbers can be formed from the digits 12345?
Answer: The number of 5 digits odd number can be made from 12345 is 1875.
How many five-digit numbers can make by starting with 5 without repeating the numbers 0 to 5?
Step-by-step explanation: If we subtract these 10,000 ways from the overall 1,00,000 ways, we are left with 90,000. Therefore, there are 90,000 unique 5-digit numbers possible. Thank You!