Q97 / 155 · WBJEE 2024 · Mathematics

Five balls of different colours are to be placed in three boxes of different sizes. The number of ways in which we can place the balls in the boxes so that no box remains empty is

  • A
    160
  • B
    140
  • C
    180
  • Correct answer
    D
    150

Solution

Hint: $3^5-{ }^3 \mathrm{C}_1(3-1)^5+{ }^3 \mathrm{C}_2 1^5-0=150$

Hence, the correct answer is option: 'D'.

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