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Five balls are to be placed in three box...

Five balls are to be placed in three boxes in how many diff. ways can be placed the balls so that no balls remain empty if

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The correct Answer is:
A-s;B-q;C-p;D-s
(A) requried ways
`=1xx1xx1xx(3!)/(2!)+1xx1xx1xx(3!)/(2!)=6`

`=(.^(5)C_(3)xx.^(2)C_(1)xx.^(1)C_(1))/(2)+(.^(5)C_(2)xx.^(3)C_(2)xx.^(1)C_(1))/(2)=25`
Required ways=`1xx1xx1+1xx1xx1=2`
Requried ways`=3+3=6`.
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ARIHANT MATHS ENGLISH-PERMUTATIONS AND COMBINATIONS -Permutations and Combinations Exercise 5: Matching Type Questions
  1. Match the following Column I to Column II

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  2. Five balls are to be placed in three boxes in how many diff. ways can ...

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