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Q.

5 balls of different colours are to be placed in 3 boxes of different sizes. Each box can hold all 5 balls. No. of different ways the balls can be placed so that no box remain empty is

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a

50

b

150

c

300

d

350

answer is B.

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Detailed Solution

nm−nc1(n−1)m+nc2(n−2)m−−−−−− =35−3c1(3−1)5+3c2(1)5−−−−− =243−3(32)+3(1) =150
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