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How many numbers with two or more digits can be formed using the digits 0,1,2,3,4,5,7,8 and 9, where each digit is used at most once and the digits appear in ascending order?
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How many numbers with two or more digits can be formed using the digit...
Counting Numbers with Two or More Digits
To count the number of numbers with two or more digits that can be formed using the digits 0,1,2,3,4,5,7,8, and 9, where each digit is used at most once and the digits appear in ascending order, we can follow these steps:
Step 1: Select the digits
- Since each digit can only be used once, we need to choose 2 or more digits from the given set of digits.
- We can choose 2 digits from 9 in 9C2 ways, 3 digits from 9 in 9C3 ways, and so on up to choosing all 9 digits in 9C9 ways.
Step 2: Arrange the digits in ascending order
- Once the digits are selected, we arrange them in ascending order to form a number.
- For example, if we choose the digits 1 and 4, we can arrange them in two ways to form the numbers 14 and 41.
Step 3: Count the total numbers
- After selecting and arranging the digits, we count the total number of numbers that can be formed.
- This total count will give us the answer to the question.
By following these steps, we can determine the total number of numbers with two or more digits that can be formed using the given set of digits.
To count the number of numbers with two or more digits that can be formed using the digits 0,1,2,3,4,5,7,8, and 9, where each digit is used at most once and the digits appear in ascending order, we can follow these steps:
Step 1: Select the digits
- Since each digit can only be used once, we need to choose 2 or more digits from the given set of digits.
- We can choose 2 digits from 9 in 9C2 ways, 3 digits from 9 in 9C3 ways, and so on up to choosing all 9 digits in 9C9 ways.
Step 2: Arrange the digits in ascending order
- Once the digits are selected, we arrange them in ascending order to form a number.
- For example, if we choose the digits 1 and 4, we can arrange them in two ways to form the numbers 14 and 41.
Step 3: Count the total numbers
- After selecting and arranging the digits, we count the total number of numbers that can be formed.
- This total count will give us the answer to the question.
By following these steps, we can determine the total number of numbers with two or more digits that can be formed using the given set of digits.
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How many numbers with two or more digits can be formed using the digits 0,1,2,3,4,5,7,8 and 9, where each digit is used at most once and the digits appear in ascending order?
Question Description
How many numbers with two or more digits can be formed using the digits 0,1,2,3,4,5,7,8 and 9, where each digit is used at most once and the digits appear in ascending order? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about How many numbers with two or more digits can be formed using the digits 0,1,2,3,4,5,7,8 and 9, where each digit is used at most once and the digits appear in ascending order? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many numbers with two or more digits can be formed using the digits 0,1,2,3,4,5,7,8 and 9, where each digit is used at most once and the digits appear in ascending order?.
How many numbers with two or more digits can be formed using the digits 0,1,2,3,4,5,7,8 and 9, where each digit is used at most once and the digits appear in ascending order? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about How many numbers with two or more digits can be formed using the digits 0,1,2,3,4,5,7,8 and 9, where each digit is used at most once and the digits appear in ascending order? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many numbers with two or more digits can be formed using the digits 0,1,2,3,4,5,7,8 and 9, where each digit is used at most once and the digits appear in ascending order?.
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