Elitmus
Exam
Numerical Ability
Probability
A lady bought five books namely A,B,C,D,E to distribute her 3 child. How many ways she can distribute books?
Read Solution (Total 31)
-
- 3^5
3*3*3*3*3 - 9 years agoHelpfull: Yes(32) No(5)
- 60
With AB there can be 3 possible combinations ABC, ABD or ABE, so similar 3 combinations are possible with AC, AD and AE, total 3*4=12
Similarly 12 combinations are possible for B, C, D, or E
So total combinations of 3 with Given A,B,C,D,E=5*12=60 - 9 years agoHelpfull: Yes(21) No(28)
- There are 3 children.The first one can get any of the 5 books,the second can get any one of the remaining four books and the third one any of the remaining 3 books.
So the total no of ways is 5*4*3=60. - 9 years agoHelpfull: Yes(15) No(4)
- 3^5.
because no of filling 3 blank spaces with 5 objects is 3^5 - 9 years agoHelpfull: Yes(8) No(3)
- Since we have to select any 3 books from 5 books, so here we will use Combination.
5C3(Selecting combination) *3!(Shuffling in selected combination)
so here comes, 5*4*3=60 //Ans. - 9 years agoHelpfull: Yes(6) No(0)
- ways to distribute 5 objects to 1 child=3
ways to distribute 5 objects to 2 children=(1,4)+(2,3)=30+60=90
ways to distribute 5 objects to 3 children=(1,1,3)+(1,2,2)=60+90=150
hence total=3+90+150=243 - 9 years agoHelpfull: Yes(5) No(9)
- REALLY PUZZLED !!!!!!!!! HOW DEVENDRA MARGHADE GOT BEST SOLUTION........... 110% WRONG
- 9 years agoHelpfull: Yes(5) No(9)
- if you want to have pure logicc though that will take a big space in your copy :P..so here how it goes..with the letter 'A' all possible combination to the three kids.ABC,ABD,ABE,ACB,ACD,ACE,ADB,ADC,ADE,AEB,AEC,AED ..COUNT how many ways formed here.i.e 12 ways.so this will multiply by 5 .hence 60.multiply by 5 as for the alphabets A,B,C,D,E.
- 9 years agoHelpfull: Yes(5) No(6)
- i dnt knw y ppl submit their solution mere by guessing. its quite shameful. its helping site fr d aspirants. if u dnt knw den plz dnt commnt illogical answers.
- 9 years agoHelpfull: Yes(5) No(0)
- 3^5.
Because 5 books is distributed to her 3 child. - 9 years agoHelpfull: Yes(2) No(2)
- Ans. 3^5
The lady can distribute the 1st. book to children in 3 ways since there is no any condition so again she can distribute 2nd book in 3 ways in this way the lady can distribute all books in 3^5 ways. - 9 years agoHelpfull: Yes(2) No(1)
- arpit no 2 books are left all r distributed ...in 5c3
- 9 years agoHelpfull: Yes(2) No(1)
- according to arun sharma
it will be 3^5
- 9 years agoHelpfull: Yes(2) No(1)
- Options are1) 60
2) 168
3)125
4)343
I thought Devendra solution is right - 9 years agoHelpfull: Yes(1) No(0)
- ans :
3^5 - 9 years agoHelpfull: Yes(1) No(2)
- 5c3*3! because we have to select 3 things from five and then and the we have to check possible arrangement.
- 9 years agoHelpfull: Yes(1) No(0)
- lady can give 5 books to 1st child, 4 to 2nd child, 3 books to 3rd child. so no of ways will be = 5*4*3
=60 - 9 years agoHelpfull: Yes(1) No(0)
- Here is 5 types of books A,B,C,D,E.
distributed in 3 children
5c3*3!=
{(5*4*3!)/2!*3!}*3!=60 - 9 years agoHelpfull: Yes(1) No(0)
- _____ _____ _____
5 4 3
since no repeation can be so
first place will 5 chances and second place will get 4 (bcz any of one is used so 5-1) same for next (only 3 bcz 4-1)
5*4*3=60 - 9 years agoHelpfull: Yes(1) No(0)
- 5p3 = 60.
5 books for 3 child's. - 9 years agoHelpfull: Yes(1) No(0)
- 5c3* 3! is the correct ans
- 8 years agoHelpfull: Yes(1) No(0)
- 5c3 ways !5/!3*!2
- 9 years agoHelpfull: Yes(0) No(0)
- what about the remaining 2 books ? they should also be distributed because books are not to be distributed equally...
- 9 years agoHelpfull: Yes(0) No(0)
- Ans: 60.
5P3 = 60 - 9 years agoHelpfull: Yes(0) No(1)
- n distinct things can be divided in r distinct group in -> r^n ways
so here n=5
r=3
so 3^5 is correct answer
other way we can understand child may be contain 1 or 2 or 3 books
so each book have 3 choice
3*3*3*3*3=3^5 is answer - 8 years agoHelpfull: Yes(0) No(0)
- factorial of 5
- 8 years agoHelpfull: Yes(0) No(0)
- Books can be given to the first child in 5 ways,second child in 4 ways and third child in 3 ways since the repetition is not possible here, otherwise solution should be 5^3.
hence the solution is 5*4*3=60ways. - 8 years agoHelpfull: Yes(0) No(0)
- There is no restriction on how many books a chiild can get. A child can get either no book or all 5 books.
The first book can be distributed in 3 ways (can be given to any of the child)
Similarly, the second book can be distributed in 3 ways (can be given to any of the child)
.
.
The fifth book can be distributed in 3 ways (can be given to any of the child)
So, total number of ways of distributing 5 books among 3 childrens = 3x3x3x3x3 = 243 - 7 years agoHelpfull: Yes(0) No(0)
- we can use n+r-1 c r-1 formula here..and the answer is 21
- 7 years agoHelpfull: Yes(0) No(1)
- "a" is the correct option
- 7 years agoHelpfull: Yes(0) No(1)
- ans is 60.
Two ways to do this
(i)
(5c3)*3! = 60(by using formula)
(ii)
5*4*3=60 (by using simple logic) - 2 years agoHelpfull: Yes(0) No(0)
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