A box contains four jerseys with the players' names printed. The four players pick up a jersey each at random. The total number of players wearing their own jersey CANNOT be

Correct option is C

Solution:

Let’s understand by listing possibilities:

There are 4 items being randomly assigned to 4 people. This is a classic permutation problem.

Let’s look at each possibility:

0 players wear their own jersey:

• Full derangement – possible
• Example:
  (1→2, 2→3, 3→4, 4→1)

Possible

1 player wears their own jersey:

• One person has correct jersey, others don’t
• This is possible

Possible

2 players wear their own jerseys:

• Check if it's possible
• Example:
  (1→1, 2→2, 3→4, 4→3)
  Only 1 and 2 got their own jerseys.

Possible

3 players wear their own jersey:

• Suppose 1, 2, 3 all got their own jersey
• Then player 4 must also get theirs, because only one jersey is left and it's theirs
• So this situation implies all 4 got theirs

So, 3 players getting their own jersey is NOT possible without the 4th also doing so.

Not possible

4 players wear their own jersey:

• Everyone gets their own – 1 correct arrangement out of 24
  Possible

Final Conclusion:

The only count that is NOT possible is:

3 players getting their own jersey

Final Answer:

S. Ans. (C) 3