English

In How Many Ways Can 5 Different Balls Be Distributed Among Three Boxes?

Advertisements
Advertisements

Question

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

Advertisements

Solution

Each ball can be distributed in 3 ways.
∴  Required number of ways in order to distribute 5 balls =`3xx3xx3xx3xx3=243`

shaalaa.com
  Is there an error in this question or solution?
Chapter 16: Permutations - Exercise 16.2 [Page 16]

APPEARS IN

R.D. Sharma Mathematics [English] Class 11
Chapter 16 Permutations
Exercise 16.2 | Q 45 | Page 16

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated?


How many words, with or without meaning, can be formed using all the letters of the word EQUATION, using each letter exactly once?


Find x in each of the following:

\[\frac{x}{10!} = \frac{1}{8!} + \frac{1}{9!}\]

In how many ways can three jobs I, II and III be assigned to three persons A, B and C if one person is assigned only one job and all are capable of doing each job?


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 numbers of four digits can be formed with the digits 1, 2, 3, 4, 5 if the digits can be repeated in the same number?


How many 5-digit telephone numbers can be constructed using the digits 0 to 9. If each number starts with 67 and no digit appears more than once?


There are 10 lamps in a hall. Each one of them can be switched on independently. Find the number of ways in which the hall can be illuminated ?


Evaluate each of the following:

6P6 


In how many ways can 4 letters be posted in 5 letter boxes?


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 ?


Write the number of all possible words that can be formed using the letters of the word 'MATHEMATICS'.


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


Number of all four digit numbers having different digits formed of the digits 1, 2, 3, 4 and 5 and divisible by 4 is


If in a group of n distinct objects, the number of arrangements of 4 objects is 12 times the number of arrangements of 2 objects, then the number of objects is


If k + 5Pk + 1 =\[\frac{11 (k - 1)}{2}\]. k + 3Pk , then the values of k are


The number of words that can be made by re-arranging the letters of the word APURBA so that vowels and consonants are alternate is


The number of ways in which the letters of the word ARTICLE can be arranged so that even places are always occupied by consonants is


If nP4 = 12(nP2), find n.


How many 6-digit telephone numbers can be constructed with the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 if each numbers starts with 35 and no digit appear more than once?


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


Find the rank of the word ‘CHAT’ in the dictionary.


Evaluate the following.

`(3! + 1!)/(2^2!)`


Evaluate the following.

`((3!)! xx 2!)/(5!)`


The possible outcomes when a coin is tossed five times:


Determine the number of permutations of the letters of the word SIMPLE if all are taken at a time?


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


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


How many strings are there using the letters of the word INTERMEDIATE, if vowels are never together


Each of the digits 1, 1, 2, 3, 3 and 4 is written on a separate card. The six cards are then laid out in a row to form a 6-digit number. How many of these 6-digit numbers are divisible by 4?


Find the number of permutations of n different things taken r at a time such that two specific things occur together.


The number of 5-digit telephone numbers having atleast one of their digits repeated is ______.


The number of words which can be formed out of the letters of the word ARTICLE, so that vowels occupy the even place is ______.


If the letters of the word 'MOTHER' be permuted and all the words so formed (with or without meaning) be listed as in a dictionary, then the position of the word 'MOTHER' is ______.


Ten different letters of an alphabet are given. Words with five letters are formed from these given letters. Determine the number of words which have at least one letter repeated.


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 ______.


The number of permutations by taking all letters and keeping the vowels of the word ‘COMBINE’ in the odd places is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×