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
- A160
- B140
- C180
- Correct answerD150
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'.