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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 box remain empty if

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Text Solution

Verified by Experts

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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