Question
Five balls of different colours are to be placed in three boxes of different sizes. Each box can hold all five. In how many different ways can we place the balls so that no box remains empty?___
Answer:
:
Since each box call hold five balls number of ways in which balls; could be distributed so that none is empty are (2. 2, 1) (3, 1, 1)
i.e., (5C2 . 3C2 . 1C1 + 5C3 . 2C1 . 1C1 ) ×3!
=(30+20) × 6 = 300
Was this answer helpful ?
:
Since each box call hold five balls number of ways in which balls; could be distributed so that none is empty are (2. 2, 1) (3, 1, 1)
i.e., (5C2 . 3C2 . 1C1 + 5C3 . 2C1 . 1C1 ) ×3!
=(30+20) × 6 = 300
Was this answer helpful ?
More Questions on This Topic :
Latest Videos
Latest Test Papers
Submit Solution