How many 4 digit positive integers are there

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How many 4 digit positive integers are there

Log in or register. Username: Password: Register in one easy step! Reset your password if you forgot it. Algebra: Real numbers, Irrational numbers, etc Section. Solvers Solvers. Lessons Lessons. Answers archive Answers. Click here to see ALL problems on real-numbers Question : How many 4-digit positive integers have four different digits, where the leading digit is not zero, the integer is a multiple of 5, and 5 is the largest digit? 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. There are 5 possibilities for the s digit, the numbers 1 through 5, then for each of those possibilities there are four choices for the s digit, that is the numbers 1 through 5 less the digit that was selected for the s digit. Then there are 3 ways to pick the 10s digit, 1 through 5 less the two that have already been used, and then the 1s digit is zero. 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. There are 4 ways to choose the s digit, the numbers 1 through 4; zero not allowed as the lead digit, and 5 will be used as the 1s digit.

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Wiki User. Let me first re-phrase your question: What is the number of positive integers less than 5 digits and greater than 3 digits? This works because as we count up from , each positive integer encountered satisfies your requirements until reaching The lowest positive 4-digit number is There are one thousand.

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How many 4 digit positive integers are there

Use the addition principle if we can break down the problems into cases , and count how many items or choices we have in each case. The total number is the sum of these individual counts. The idea is, instead of counting a large set, we divide it up into several smaller subsets, and count the size of each of them. The cardinality of the original set is the sum of the cardinalities of the smaller subsets. This divide-and-conquer approach works perfectly only when the sets are pairwise disjoint.

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Already registered? Prep MBA. Best Answer. Log in or register. Your score will improve and your results will be more realistic. Then there are 3 ways to pick the 10s digit, 1 through 5 less the two that have already been used, and then the 1s digit is zero. Are you ready to embark on your MBA admissions journey but unsure about where to start? Free Stuff. Show timer Previously Viewed. MBA Admit. How many four digit positive integers are there with thousands digit 2? MBA Prep School. Signing up is free , quick, and confidential. Schools: Kellogg PT '

Integers that are on the right side of 0 on a number line are called positive integers.

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