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  • In how many ways can 5 different books can be tied up in 4 bundles? Option: 1 100Option: 2</s

In how many ways can 5 different books can be tied up in 4 bundles? 

Option: 1

100


Option: 2

240


Option: 3

24


Option: 4

10


Answers (1)

best_answer

 

 

DISTRIBUTION OF DISTINCT OBJECTS INTO DISTINCT PLACES -

Direct Formula:

Number of ways in which n different things can be distributed into r different group is

\\r^n-^rC_1(r-1)^n+^rC_2(r-2)^n-^rC_3(r-3)^n+\ldots\ldots+(-1)^{r-1}\cdot ^rC_{r-1}\\\\\text{or}\\\\\sum_{p=0}^{r}(-1)^p\cdot ^rC_p\cdot (r-p)^n

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The number of ways = \frac{1}{4!}\left ( 4^5-^4C_1\cdot 3^5+^4C_2\cdot 2^5-^4C_3\cdot 1^5 \right )=10

Posted by

rishi.raj

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