Miscellaneous

How many 4 digit positive integers are there?

How many 4 digit positive integers are there?

There are 4500 even 4 digit positive numbers.

How many 4 digit numbers are there where each digit is different?

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 4 digit numbers are there if we allow leading zeros?

If leading zeroes are allowed, and they sometimes are (example – a state lottery Pick-4 game), then you will have 10 choices for each digit in the 4-digit number. Hence, the total will be: 10*10*10*10 = 10^4 = 10000 permutations. The range of choices will be: 0000 to 9999.

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How many odd 4 digit positive integers that are multiples of 5 can be formed without using the digit 3?

How many odd 4-digit positive integers that are multiples of 5 can be formed without using the digit 3? 648 integers.

How many 4-digit positive integers have four different digits where the leading digit is not zero?

So there are 5 x 4 x 6 = 120 possible 4-digit numbers that end in 0 with no repeated digit and no digit larger than 5. Answer: 220 possible numbers.

How many 4-digit positive integers are there in which all 4 digits are even 625?

120+120+125+125=490 such numbers exist.

How many positive integers exist with distinct digits?

Therefore, there are 4536 four-digit numbers with distinct digits.

How many integers have distinct digits?

1-digit integers: 1., 9 – there are 9 integers. 2-digit integers: 10., 99 – there are 90 integers, but in 9 of them (11., 99) the two digits are the same. So there are 90 − 9 = 81 2-digit integers with distinct digits.

How many 4 digit positive integers are there for which there are no repeated digits or for which there may be repeated digits but all digits are odd?

There are 9⋅9⋅8⋅7 4-digit integers that don’t contain any repeated digits.

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How many 4 different digits numbers can we form using the digits from 0 to 9 if the 0 can’t be in the first digit?

Originally Answered: How many 4-digit combinations are possible using 0-9 without repeating any numbers? 5,040. If we were choosing any 4-digit number, we would have 10 choices for the first, 10 for the second, 10 for the third, and 10 for the fourth.

How many odd 4-digit positive integers are there?

We have 54 4-digit integers that can have odd digits repeated. There is a set that intersects the previously mentioned sets. That is the set formed by all the 4-digit integers with odd digits that don’t repeat. So the final result is: 9⋅9⋅8⋅7+54−5⋅4⋅3⋅2=5041.

How many 4-digit numbers formed using the digits 5 3 8 0 without repeating any digit would be odd and also multiples of 5?

18 4-digit numbers can be created using the digits 5, 3, 8, and 0 without repeating, and 4 of them are odd and a multiple of 5.

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What is the 1s digit of a 4-digit positive integer?

Now consider the 4-digit positive integers with different digits, leading digit not zero, and 5 is the largest digit, where the 1s digit is 5. There are 4 ways to choose the 1000s digit, the numbers 1 through 4; zero not allowed as the lead digit, and 5 will be used as the 1s digit.

How many different 4-digit numbers are there in all?

So there are 5 times 4 times 3 different 4 digit numbers in this category, a total of 60 different numbers. Now consider the 4-digit positive integers with different digits, leading digit not zero, and 5 is the largest digit, where the 1s digit is 5.

How do you know if an integer is divisible by 5?

If a positive integer is divisible by 5, then the 1s digit must be either 5 or 0. Consider the 4-digit positive integers with different digits, leading digit not zero, and 5 is the largest digit, where the 1s digit is zero.

How many integers can the third digit be the leading digit?

The third digit cannot be the leading digit or the second digit, so there are choices. The number of integers is this case is