मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

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

Advertisements
Advertisements

प्रश्न

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

बेरीज
Advertisements

उत्तर

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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Combinatorics and Mathematical Induction - Exercise 4.1 [पृष्ठ १६६]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 4 Combinatorics and Mathematical Induction
Exercise 4.1 | Q 8. (iii) | पृष्ठ १६६

संबंधित प्रश्‍न

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


A Signal is generated from 2 flags by putting one flag above the other. If 4 flags of different colours are available, how many different signals can be generated?


How many three-digit numbers can be formed from the digits 0, 1, 3, 5, 6 if repetitions of digits are 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 four digit numbers will not exceed 7432 if they are formed using the digits 2, 3, 4, 7 without repetition?


Select the correct answer from the given alternatives.

A college offers 5 courses in the morning and 3 in the evening. The number of ways a student can select exactly one course, either in the morning or in the evening


How many two-digit numbers can be formed using 1, 2, 3, 4, 5 without repetition of digits?


Three persons enter into a conference hall in which there are 10 seats. In how many ways they can take their seats?


How many numbers are there between 100 and 500 with the digits 0, 1, 2, 3, 4, 5? if the repetition of digits is not allowed


How many three-digit numbers, which are divisible by 5, can be formed using the digits 0, 1, 2, 3, 4, 5 if repetition of digits are not allowed?


How many strings can be formed using the letters of the word LOTUS if the word neither starts with L nor ends with S?


Find the value of 6!


Find the value of 3! × 2!


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


Eight chairs are numbered 1 to 8. Two women and 3 men wish to occupy one chair each. First the women choose the chairs from amongst the chairs 1 to 4 and then men select from the remaining chairs. Find the total number of possible arrangements.


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.


The number of different four-digit numbers that can be formed with the digits 2, 3, 4, 7 and using each digit only once is ______.


The sum of the digits in unit place of all the numbers formed with the help of 3, 4, 5 and 6 taken all at a time is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×