In how many ways can we put 4 different letters into 4 different envelopes so that all the letters go into the wrong envelopes?
Don't have to tell the solution . Just give a hint how to approach and check where my logic is going wrong .
My approach:
In how many ways can we put 4 different letters into 4 different envelopes?
then this would be 24 ways.
But the question asks letters into wrong envelopes.
RIGHT envelope means Letter 1 is assigned to E1 envelope, Letter 2 is assigned to Envelope 2 etc particularly
HERE in many Combinations all the letters at the same time are not going into wrong envelopes.
These are the combinations of letters in worst envelope.
Where am i wrong?
Don't have to tell the solution . Just give a hint how to approach and check where my logic is going wrong .
My approach:
In how many ways can we put 4 different letters into 4 different envelopes?
then this would be 24 ways.
But the question asks letters into wrong envelopes.
RIGHT envelope means Letter 1 is assigned to E1 envelope, Letter 2 is assigned to Envelope 2 etc particularly
E1 | E2 | E3 | E4 |
L2 | L1 | L3 | L4 |
L2 | L1 | L4 | L3 |
L1 | L2 | L4 | L3 |
L1 | L3 | L2 | L4 |
L1 | L3 | L4 | L2 |
L1 | L4 | L2 | L3 |
L1 | L4 | L3 | L2 |
L2 | L3 | L1 | L4 |
L2 | L3 | L4 | L1 |
L3 | L2 | L1 | L4 |
L3 | L2 | L4 | L1 |
L3 | L4 | L2 | L1 |
L4 | L3 | L2 | L1 |
L3 | L4 | L1 | L2 |
L4 | L3 | L1 | L2 |
HERE in many Combinations all the letters at the same time are not going into wrong envelopes.
These are the combinations of letters in worst envelope.
Where am i wrong?
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