Q69.If 10 different balls are to be placed in 4 distinct boxes at random, then the probability that two of these boxes contain exactly 2 and 3 balls is: (1) 965 (2) 965 211 210 (3) 945 (4) 945 210 211
What This Question Tests
This question involves calculating probability using combinations for distributing distinguishable balls into distinct boxes, with specific conditions on the number of balls in two boxes, requiring careful consideration of cases and multinomial coefficient ideas implicitly.
Concepts Tested
Formulas Used
Number of ways to distribute n distinct objects into k distinct boxes = k^n
Combinations (nCr)
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📋 Question Details
- Chapter
- Probability
- Topic
- Distribution of objects into boxes
- Year
- 2020
- Shift
- 09 Jan Shift 2
- Q Number
- Q69
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 13: Probability
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