हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा ११

Count the number of three-digit numbers which can be formed from the digits 2, 4, 6, 8 if repetitions of digits is allowed

Advertisements
Advertisements

प्रश्न

Count the number of three-digit numbers which can be formed from the digits 2, 4, 6, 8 if repetitions of digits is allowed

योग
Advertisements

उत्तर

Number of digits given = 4 (2, 4, 6, 8)

So the unit place can be filled in 4 ways,

10’s place can be filled in 4 ways and 100’s place can be filled in 4 ways

∴ The unit place, 10’s place and 100’s place together can be filled

(i.e) So the Number of 3 digit numbers = 4 × 4 × 4 = 64 ways

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Combinatorics and Mathematical Induction - Exercise 4.1 [पृष्ठ १६६]

APPEARS IN

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

संबंधित प्रश्न

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 the digit 7 exactly once?


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


A person went to a restaurant for dinner. In the menu card, the person saw 10 Indian and 7 Chinese food items. In how many ways the person can select either an Indian or a Chinese food?


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


In how many ways 5 persons can be seated in a row?


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


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


Find the value of 3! × 2!


Evaluate `("n"!)/("r"!("n" - "r")!)` when for any n with r = 2


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 10 digit number that can be written by using the digits 2 and 3 is


All the letters of the word PADMAPRIYA are placed at random in a row. The probability that the word PRIY A occurs without getting split is ______


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


There are four bus routes between A and B; and three bus routes between B and C. A man can travel round-trip in number of ways by bus from A to C via B. If he does not want to use a bus route more than once, in how many ways can he make round trip?


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?


A candidate is required to answer 7 questions out of 12 questions, which are divided into two groups, each containing 6 questions. He is not permitted to attempt more than 5 questions from either group. Find the number of different ways of doing question


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×