English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

Count the numbers between 999 and 10000 subject to the condition that there are at least one of the digits is repeated

Advertisements
Advertisements

Question

Count the numbers between 999 and 10000 subject to the condition that there are at least one of the digits is repeated

Sum
Advertisements

Solution

At least one of the digits is repeated:

Required number of 4 digit numbers = Total number of 4 digit numbers – Number of 4 digit numbers when no digit is repeated

= 9000 – 4536

= 4464

shaalaa.com
  Is there an error in this question or solution?
Chapter 4: Combinatorics and Mathematical Induction - Exercise 4.1 [Page 166]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 4 Combinatorics and Mathematical Induction
Exercise 4.1 | Q 8. (iii) | Page 166

RELATED QUESTIONS

How many 3-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated?


A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there?


How many numbers between 100 and 1000 have 4 in the units place?


How many two letter words can be formed using letters from the word SPACE, when repetition of letters is allowed?


How many three-digit numbers can be formed from the digits 0, 1, 3, 5, 6 if repetitions of digits are not allowed?


How many numbers between 100 and 1000 have the digit 7 exactly once?


How many five-digit numbers formed using the digit 0, 1, 2, 3, 4, 5 are divisible by 5 if digits are not repeated?


A mobile phone has a passcode of 6 distinct digits. What is the maximum number of attempts one makes to retrieve the passcode?


How many three-digit numbers are there with 3 in the unit place? 
without repetition


How many numbers are there between 1 and 1000 (both inclusive) which are divisible neither by 2 nor by 5?


Find the value of 6!


Choose the correct alternative:
In an examination there are three multiple choice questions and each question has 5 choices. Number of ways in which a student can fail to get all answer correct i


Choose the correct alternative:
The number of ways in which the following prize be given to a class of 30 boys first and second in mathematics, first and second in physics, first in chemistry and first in English is


Choose the correct alternative:
The number of five digit telephone numbers having at least one of their digits repeated i


The number of ways in which a garland can be formed by using 10 identical pink flowers and 9 identical white flowers is ______


If the letters of the word RACHIT are arranged in all possible ways as listed in dictionary. Then what is the rank of the word RACHIT?


Find the number of integers greater than 7000 that can be formed with the digits 3, 5, 7, 8 and 9 where no digits are repeated.


Three letters can be posted in five letterboxes in 35 ways.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×