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Question From class 11 Chapter PERMUTATIONS AND COMBINATIONS

# Find the number of positive integers greater than 6000 and less than 7000 which are divisible by 5, provided that no digit is to be repeated.

Solution :

We know that a number is divisible by 5, if at the units place of the number is 0 or 5. <br> We have to form 4 - digit number which is greater than 6000 and less than 7000. So, unit digit can be filled in 2 ways. <br> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/ARH_NCERT_EXE_MATH_XI_C07_S01_011_S01.png" width="80%"> <br> Since, repeatition is not allowed. Therefore, tens place can be filled in 7 ways, similarily hunderds place can be filled in 8 ways. <br> but we have to form a number greater than 6000 and less than 7000. <br> Hence, thousand place can be filled in only 1 ways. <br> <br> Total number of integers

Let S be the set of integers which are divisible by 5, and let T be the set of integer which are divisible by 7. Find the number of positive integers less than 1000 and not in .
7:39
The total number of numbers greater than 100 and divisible by 5, that can be formed from the digits 3, 4, 5, 6 if no digit is repeated, is
2:44
Number of numbers greater than 24000 can be formed by using digits 1,2,3,4,5 when no digit being repeated is
3:56
Number of even numbes greater than 300 that can be formed with the digits 1 , 2 , 3 , 4, 5 such that no digit being repeated is
3:40
How many three-digit numbers that are divisible by 5, can be formed, using the digit 0,2,3,5,7, if no digit occurs more than once in each number?
3:18
How many numbers greater than 56000 and farmed by using the digits no digit being repeated in any number?
2:07
Sum of all numbers greater than 10000 formed by the digits 1,3,5,7,9 such that no Digit is repeated
8:19
Find all pairs of consecutive even positive integers, both of which are greater than 10 such that their sum is less than 50.
5:08
How many 5-digit numbers that are divisible by 5 can be formed using the digits (0,1,3,5,7,5)? (Each digit can be repeated any number of times)
4:00
Find all pairs of consecutive even positive integers, both of which are larger than 5 such that their sum is less than 23.
3:38
Find all pairs of consecutive even positive integers, both of which are larger than 5, such that their sum is less than 23.
2:43
Find all pairs of consecutive even positive integers both of which are larger than 5 such that their sum is less than 23.
1:47
How many positive integers less than 1000 have the property that the sum of the digits of each such number is divisible by 7 and the number itself is divisible by 3 ?
5:54
Given that X= { Natural number less than 100 divisible by 6} ,Y ={Natural number less than 100 divisible by 8} and Z= {Natural number less than 100 divisibe by 18} <br> Find
2:29
How many numbers of four digits greater than can be formed with the digits no digit being repeated in any number?
7:07

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The text passage provided is a question from a mathematics textbook or resource, specifically from the chapter on Permutations and Combinations. It asks for the number of positive integers greater than 6000 and less than 7000 which are divisible by 5, with the condition that no digit is repeated.
single_question_with_answer

the passage includes a solution that explains the steps to solve the problem, including the use of a diagram to illustrate the placement of digits and the calculation of the total number of such integers.
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
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Apne doubts clear karein ab Whatsapp (8 400 400 400) par bhi. Try it now.

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Watch 1 minute video

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Question From class 11 Chapter PERMUTATIONS AND COMBINATIONS

# Find the number of positive integers greater than 6000 and less than 7000 which are divisible by 5, provided that no digit is to be repeated.

Solution :

We know that a number is divisible by 5, if at the units place of the number is 0 or 5. <br> We have to form 4 - digit number which is greater than 6000 and less than 7000. So, unit digit can be filled in 2 ways. <br> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/ARH_NCERT_EXE_MATH_XI_C07_S01_011_S01.png" width="80%"> <br> Since, repeatition is not allowed. Therefore, tens place can be filled in 7 ways, similarily hunderds place can be filled in 8 ways. <br> but we have to form a number greater than 6000 and less than 7000. <br> Hence, thousand place can be filled in only 1 ways. <br> <br> Total number of integers

Let S be the set of integers which are divisible by 5, and let T be the set of integer which are divisible by 7. Find the number of positive integers less than 1000 and not in .
7:39
The total number of numbers greater than 100 and divisible by 5, that can be formed from the digits 3, 4, 5, 6 if no digit is repeated, is
2:44
Number of numbers greater than 24000 can be formed by using digits 1,2,3,4,5 when no digit being repeated is
3:56
Number of even numbes greater than 300 that can be formed with the digits 1 , 2 , 3 , 4, 5 such that no digit being repeated is
3:40
How many three-digit numbers that are divisible by 5, can be formed, using the digit 0,2,3,5,7, if no digit occurs more than once in each number?
3:18
How many numbers greater than 56000 and farmed by using the digits no digit being repeated in any number?
2:07
Sum of all numbers greater than 10000 formed by the digits 1,3,5,7,9 such that no Digit is repeated
8:19
Find all pairs of consecutive even positive integers, both of which are greater than 10 such that their sum is less than 50.
5:08
How many 5-digit numbers that are divisible by 5 can be formed using the digits (0,1,3,5,7,5)? (Each digit can be repeated any number of times)
4:00
Find all pairs of consecutive even positive integers, both of which are larger than 5 such that their sum is less than 23.
3:38
Find all pairs of consecutive even positive integers, both of which are larger than 5, such that their sum is less than 23.
2:43
Find all pairs of consecutive even positive integers both of which are larger than 5 such that their sum is less than 23.
1:47
How many positive integers less than 1000 have the property that the sum of the digits of each such number is divisible by 7 and the number itself is divisible by 3 ?
5:54
Given that X= { Natural number less than 100 divisible by 6} ,Y ={Natural number less than 100 divisible by 8} and Z= {Natural number less than 100 divisibe by 18} <br> Find
2:29
How many numbers of four digits greater than can be formed with the digits no digit being repeated in any number?
7:07

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user
The text passage provided is a question from a mathematics textbook or resource, specifically from the chapter on Permutations and Combinations. It asks for the number of positive integers greater than 6000 and less than 7000 which are divisible by 5, with the condition that no digit is repeated.

TYPE: SINGLE_QUESTION_WITH_ANSWER

The passage includes a solution that explains the steps to solve the problem, including the use of a diagram to illustrate the placement of digits and the calculation of the total number of such integers.