Discussion

Explanation:

Here shirts are identical, and people are distinct.

Let the each of three persons receive x, y and z number of shirts from these 12 shirts.

∴ x + y + z = 12.

Note: This is same as distributing n identical item to r different people. 

No. of ways of distributing n identical items to r distinct people = ^n+r-1C_r-1.

⇒ Number of ways 12 identical shirts can be given to 3 people such that each may / may not receive a shirt = ^12+3-1C_3-1 = ¹⁴C₂ = 91 ways.

Hence, 91.

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