English

Write the Number of Numbers that Can Be Formed Using All for Digits 1, 2, 3, 4 ?

Advertisements
Advertisements

Question

Write the number of numbers that can be formed using all for digits 1, 2, 3, 4 ?

Advertisements

Solution

Disclaimer:- (1) Here, we can form 4 digits, 5 digits , 6 digits numbers and so on.... using the given digits. Thus, infinite numbers can be formed.
(2) Taking into account only four digit numbers.
We have to find all the numbers that can be formed by using the digits 1, 2, 3 and 4. This means that repetition of digits is not allowed as all the digits have to be used.
Total numbers that can be formed = Number of arrangements of four digits, taken all at a time =  4! = 24

shaalaa.com
  Is there an error in this question or solution?
Chapter 16: Permutations - Exercise 16.6 [Page 45]

APPEARS IN

R.D. Sharma Mathematics [English] Class 11
Chapter 16 Permutations
Exercise 16.6 | Q 12 | Page 45

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Evaluate 8!


Compute `(8!)/(6! xx 2!)`


Evaluate `(n!)/((n-r)!)`, when n = 9, r = 5


How many 4-digit numbers are there with no digit repeated?


In how many ways can the letters of the word PERMUTATIONS be arranged if the there are always 4 letters between P and S?


In how many ways can the letters of the word ASSASSINATION be arranged so that all the S’s are together?


Find x in each of the following:

\[\frac{1}{6!} + \frac{1}{7!} = \frac{x}{8!}\]

How many natural numbers not exceeding 4321 can be formed with the digits 1, 2, 3 and 4, if the digits can repeat?


How many natural numbers less than 1000 can be formed from the digits 0, 1, 2, 3, 4, 5 when a digit may be repeated any number of times?


Find the total number of ways in which 20 balls can be put into 5 boxes so that first box contains just one ball ?


In how many ways can 5 different balls be distributed among three boxes?


In how many ways can 4 prizes be distributed among 5 students, when
(i) no student gets more than one prize?
(ii) a student may get any number of prizes?
(iii) no student gets all the prizes?


Evaluate each of the following:

P(6, 4)


Write the number of 5 digit numbers that can be formed using digits 0, 1 and 2 ?


In how many ways 4 women draw water from 4 taps, if no tap remains unused?


Write the total number of possible outcomes in a throw of 3 dice in which at least one of the dice shows an even number.


Write the number of ways in which 7 men and 7 women can sit on a round table such that no two women sit together ?


The number of different signals which can be given from 6 flags of different colours taking one or more at a time, is


The number of arrangements of the word "DELHI" in which E precedes I is


The number of ways to arrange the letters of the word CHEESE are


The number of ways in which 6 men can be arranged in a row so that three particular men are consecutive, is


A 5-digit number divisible by 3 is to be formed using the digits 0, 1, 2, 3, 4 and 5 without repetition. The total number of ways in which this can be done is


The product of r consecutive positive integers is divisible by


Find x if `1/(6!) + 1/(7!) = x/(8!)`


If (n+2)! = 60[(n–1)!], find n


In how many ways 5 boys and 3 girls can be seated in a row, so that no two girls are together?


Find the number of arrangements that can be made out of the letters of the word “ASSASSINATION”.


A test consists of 10 multiple choice questions. In how many ways can the test be answered if question number n has n + 1 choices?


8 women and 6 men are standing in a line. How many arrangements are possible if any individual can stand in any position?


Find the distinct permutations of the letters of the word MISSISSIPPI?


How many ways can the product a2 b3 c4 be expressed without exponents?


In how many ways 4 mathematics books, 3 physics books, 2 chemistry books and 1 biology book can be arranged on a shelf so that all books of the same subjects are together


If the letters of the word FUNNY are permuted in all possible ways and the strings thus formed are arranged in the dictionary order, find the rank of the word FUNNY


Find the sum of all 4-digit numbers that can be formed using digits 1, 2, 3, 4, and 5 repetitions not allowed?


Three married couples are to be seated in a row having six seats in a cinema hall. If spouses are to be seated next to each other, in how many ways can they be seated? Find also the number of ways of their seating if all the ladies sit together.


The number of three-digit even numbers, formed by the digits 0, 1, 3, 4, 6, 7 if the repetition of digits is not allowed, is ______.


8-digit numbers are formed using the digits 1, 1, 2, 2, 2, 3, 4, 4. The number of such numbers in which the odd digits do no occupy odd places is ______.


Number of words from the letters of the words BHARAT in which B and H will never come together is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×