JEE Main 2020MathematicsProbabilityMediumMCQ

JEE Main 2020 — Probability Question with Solution

JEE Main 2020 (09 Jan Shift 2)

Question

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:

Choose an option

Show full solutionCorrect option: C
Correct answer
C945210

Step-by-step explanation

Total number of ways in which 10 balls can be placed in 4 boxes =4×4×4×4×4×4×4×4×4×4

⇒410

⇒220

 Exactly two box contain 2,3 balls 

⇒C24×2×C210×C38×25

Probability =C24×2×C210×C28×25220

=945210

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About this question

This is a previous-year question from JEE Main 2020, covering the Probability chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.