How many ways are there to select a number from set A and another number from set B such that these two numbers are distinct?
Note: Selecting 3 from A and 4 from B is different from selecting 4 from A and 3 from B.
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There are 6 ways of choosing a number from A. There are 5 ways of choosing a number from B. Thus the total number of arranges is 6 × 5 = 3 0 .
The number of ways in which we can select the same number from both the sets is 4 , i.e, 3 − 3 , 4 − 4 , 5 − 5 , 6 − 6 .
Hence 3 0 − 4 = 2 6