For 1.3-1.6, assume S = {x, y, z} and T = {I, 2, 3}. From Example 1.2, we know thereare

Problem 1.6

For 1.3-1.6, assume S = {x, y, z} and T = {I, 2, 3}. From Example 1.2, we know there are 27 mappings from S to T. How many mappings are there from S onto (1, 2)?

                                                               Step by Step Solution

Step 1 of 3

 has 3 elements x,y and z.

  has 2 elements.

So each of the elements of   has 2 ways of mapping that is either 1 or 2.

Therefore,

Total number of mappings from  to {1,2}