हिंदी

How many numbers are there between 99 and 1000 having 7 in the units place? - Mathematics

Advertisements
Advertisements

प्रश्न

How many numbers are there between 99 and 1000 having 7 in the units place?

योग
Advertisements

उत्तर

First note that all these numbers have three digits.

7 is in the unit’s place.

The middle digit can be any one of the 10 digits from 0 to 9.

The digit in hundred’s place can be any one of the 9 digits from 1 to 9.

Therefore, by the fundamental principle of counting

There are 10 × 9 = 90 numbers between 99 and 1000 having 7 in the unit’s place.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Permutations and Combinations - Solved Examples [पृष्ठ ११६]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 7 Permutations and Combinations
Solved Examples | Q 2.(i) | पृष्ठ ११६

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that repetition of the digits is allowed?


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


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


A teacher wants to select the class monitor in a class of 30 boys and 20 girls. In how many ways can the monitor be selected if the monitor must be a girl or a boy?


How many two letter words can be formed using letters from the word SPACE, when repetition of letters is not allowed?


In a test, 5 questions are of the form 'state, true or false'. No student has got all answers correct. Also, the answer of every student is different. Find the number of students appeared for the test.


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


How many four digit numbers will not exceed 7432 if they are formed using the digits 2, 3, 4, 7 without repetition?


If numbers are formed using digits 2, 3, 4, 5, 6 without repetition, how many of them will exceed 400?


How many numbers formed with the digits 0, 1, 2, 5, 7, 8 will fall between 13 and 1000 if digits can be repeated?


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


Select the correct answer from the given alternatives.

A college has 7 courses in the morning and 3 in the evening. The possible number of choices with the student if he wants to study one course in the morning and one in the evening is -


How many words can be formed by writing letters in the word CROWN in different order?


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


Four children are running a race:
In how many different ways could they finish the race?


How many three-digit numbers are there with 3 in the unit place?
with repetition


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


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


Count the numbers between 999 and 10000 subject to the condition that there are no digit is repeated


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 allowed?


How many strings can be formed using the letters of the word LOTUS if the word either starts with L or ends with S?


Find the number of ways of distributing 12 distinct prizes to 10 students?


Evaluate `("n"!)/("r"!("n" - "r")!)` when n = 10, r = 3


Choose the correct alternative:
The sum of the digits at the 10th place of all numbers formed with the help of 2, 4, 5, 7 taken all at a time is


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 5 digit numbers all digits of which are odd i


Choose the correct alternative:
The number of 10 digit number that can be written by using the digits 2 and 3 is


In how many ways can this diagram be coloured subject to the following two conditions?
(i) Each of the smaller triangle is to be painted with one of three colours: red, blue or green.
(ii) No two adjacent regions have the same colour.


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


The number of possible outcomes when a coin is tossed 6 times 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 ______.


The number of six-digit numbers, all digits of which are odd is ______.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×