हिंदी

Find the Total Number of Ways in Which 20 Balls Can Be Put into 5 Boxes So that First Box Contains Just One Ball ?

Advertisements
Advertisements

प्रश्न

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

Advertisements

उत्तर

Any one of the twenty balls can be put in the first box. Thus, there are twenty different ways for this.
Now, remaining 19 balls are to be put into the remaining 4 boxes. This can be done in`4^19` ways because there are four choices for each ball.
∴ Required number of ways =`20xx4^19`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 16: Permutations - Exercise 16.2 [पृष्ठ १६]

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.2 | Q 44 | पृष्ठ १६

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Find the number of 4-digit numbers that can be formed using the digits 1, 2, 3, 4, 5 if no digit is repeated. How many of these will be even?


Find n if n – 1P3 : nP4 = 1 : 9


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


How many words, with or without meaning can be made from the letters of the word MONDAY, assuming that no letter is repeated, if

(i) 4 letters are used at a time,

(ii) all letters are used at a time,

(iii) all letters are used but first letter is a vowel?


In how many of the distinct permutations of the letters in MISSISSIPPI do the four I’s not come together?


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:

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

Which of the following are true:

(2 × 3)! = 2! × 3!


Find the number of ways in which one can post 5 letters in 7 letter 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:

6P


Evaluate each of the following:

P(6, 4)


Write the number of ways in which 5 boys and 3 girls can be seated in a row so that each girl is between 2 boys ?


Write the remainder obtained when 1! + 2! + 3! + ... + 200! is divided by 14 ?


The number of ways in which the letters of the word 'CONSTANT' can be arranged without changing the relative positions of the vowels and consonants 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


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 number of arrangements of the letters of the word BHARAT taking 3 at a time is


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


If nP4 = 12(nP2), find n.


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


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?


  1. In how many ways can 8 identical beads be strung on a necklace?
  2. In how many ways can 8 boys form a ring?

Evaluate the following.

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


Evaluate the following.

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


The number of ways to arrange the letters of the word “CHEESE”:


Suppose 8 people enter an event in a swimming meet. In how many ways could the gold, silver and bronze prizes be awarded?


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


A coin is tossed 8 times, how many different sequences containing six heads and two tails are possible?


How many strings are there using the letters of the word INTERMEDIATE, if all the vowels are 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?


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.


Ten different letters of alphabet are given. Words with five letters are formed from these given letters. Then the number of words which have atleast one letter repeated is ______.


The number of signals that can be sent by 6 flags of different colours taking one or more at a time is ______.


The number of 5-digit telephone numbers having atleast one of their digits repeated 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×