Set up a generating function and use it to find the number o

Set up a generating function and use it to find the number of ways in which eleven identical coins can be placed in three distinct envelopes if each envelope has an even number of coins in it.

Solution

Answer :-

Each Envelope has an even number of coins in it,

The generating function is given as

          = (1+x² + x⁴ + x⁶ + ........)

          = 0