How many number of five digits can be made with at least one repeated digit?

Least 5 digit number is 10000 and highest 5 digit number is 99999. Since repetion is allowed and 0 can’t take the first place so we are left with 9 digits for first place. Next 4 digits can take 10 values i.e. 0 to 9. So total number of 5 digit numbers with atleast one repetition will be 9*10*10*10*10=90,000.

How many numbers can be made from 6 digits?

If you are just using the digits from 1 to 6, the answer would be 6*5*4*3*2*1 = 720, because you have 6 choices for the units digit, and then 5 choices left for the tens, and then 4 choices left for the hundreds and so on.

How many four digit numbers are there with distinct digits?

Hence by the fundamental counting principle, The number of 4-digit numbers are 9.9. 8.7= 4536. Therefore, there are 4536 four-digit numbers with distinct digits.

How many 5 digit numbers are possible in descending order?

From the sequence (9,8,7,6,5,4,3,2,1,0), let us draw any five elements, keeping the remaining five in their positions. The resulting 5 digit numbers are all possible 5-digit numbers in descending order.

What is the first and second digit of a 5 digit number?

For the first digit, there are only five options (5, 6, 7, 8, and 9) because a five-digit number must start with a non-zero integer. For the second digit, there are 5 choices again, because now zero can be used but one of the other numbers has already been used, and numbers cannot be repeated.

How many distinct-4-digits don’t include a 0?

If the last 4 don’t include 0, you only have 5 choices left for the first one. Since the number of distinct-4-digits arrangements which don’t include a 0 is 9 C 4 × 4!, the calculation gives which simplifies to 9 × 8 × 7 × ( 30 + 60 − 36), i.e. 9 x 9 x 8 x 7 x 6, as before.

How many choices are there for each digit in the number system?

There are 9 choices for the first digit, since 0 can’t be used. For the second digit, you can use any of the remaining 9 digits. For the third digit you can use any of the 8 digits not already used. For the next digit, there are 7 choices. And for the final digit there are 6 choices left.