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The number of lying between 100 and 1000 can be formed with the digits 1, 2,3,4,5,6,7, is?
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The number of lying between 100 and 1000 can be formed with the digits...
Counting the Number of Integers with Given Digits
To count the number of integers lying between 100 and 1000 that can be formed with the digits 1, 2, 3, 4, 5, 6, and 7, we can use combinatorics.
Step 1: Count the number of choices for the first digit. Since the number cannot start with 0, we have 6 choices (1, 2, 3, 4, 5, 6).
Step 2: Count the number of choices for the second digit. We have 7 choices (1, 2, 3, 4, 5, 6, 7) since we can use any of the digits.
Step 3: Count the number of choices for the third digit. We have 7 choices again since we can use any of the digits.
Step 4: Multiply the number of choices for each step to get the total number of integers. Therefore, the total number of integers is:
6 x 7 x 7 = 294
Therefore, there are 294 integers lying between 100 and 1000 that can be formed with the digits 1, 2, 3, 4, 5, 6, and 7.
To count the number of integers lying between 100 and 1000 that can be formed with the digits 1, 2, 3, 4, 5, 6, and 7, we can use combinatorics.
Step 1: Count the number of choices for the first digit. Since the number cannot start with 0, we have 6 choices (1, 2, 3, 4, 5, 6).
Step 2: Count the number of choices for the second digit. We have 7 choices (1, 2, 3, 4, 5, 6, 7) since we can use any of the digits.
Step 3: Count the number of choices for the third digit. We have 7 choices again since we can use any of the digits.
Step 4: Multiply the number of choices for each step to get the total number of integers. Therefore, the total number of integers is:
6 x 7 x 7 = 294
Therefore, there are 294 integers lying between 100 and 1000 that can be formed with the digits 1, 2, 3, 4, 5, 6, and 7.
Community Answer
The number of lying between 100 and 1000 can be formed with the digits...
The numbers range from 101 to 999 are 3 digit numbers. There is no restriction. Any digit can appear any number of times.
So ways of selecting 3 digits out of 7 digits : 7*7*7 = 343
So ways of selecting 3 digits out of 7 digits : 7*7*7 = 343
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The number of lying between 100 and 1000 can be formed with the digits 1, 2,3,4,5,6,7, is?
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The number of lying between 100 and 1000 can be formed with the digits 1, 2,3,4,5,6,7, is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The number of lying between 100 and 1000 can be formed with the digits 1, 2,3,4,5,6,7, is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of lying between 100 and 1000 can be formed with the digits 1, 2,3,4,5,6,7, is?.
The number of lying between 100 and 1000 can be formed with the digits 1, 2,3,4,5,6,7, is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The number of lying between 100 and 1000 can be formed with the digits 1, 2,3,4,5,6,7, is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of lying between 100 and 1000 can be formed with the digits 1, 2,3,4,5,6,7, is?.
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