GATE CSE 2022 Q32: Six identical balls in three identical bins
- Engineering Mathematics
- 1 mark
- NAT
- No negative marking
Question
The number of arrangements of six identical balls in three identical bins is______.
Try it: numerical answer: type the value
Numerical answer. No negative marking.
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Answer: 7 (official GATE 2022 final answer key)
Concept used: Identical balls into identical bins means partitions of 6 into at most 3 parts.
First step: List partitions of 6 with at most three parts, starting from 6, 5+1, 4+2, ….
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Source: official GATE 2022 CS question paper and final answer key, organised by IIT Kharagpur. Question paper · Answer key
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