# Answer to Question #72571 in Discrete Mathematics for BABATUNJI ABDULWAHAB

Question #72571

9. The NANP numbers are ten digits in length, and in the format NXX-NXX-XXXX. N can be any 2-9 digit and X can be any digit 0-9. The first three digits are called the numbering plan area (NPA) code. As we know there are 800 area codes available now which means not all of the three-digit combinations can be used as area codes. Some of them are still not used but are reserved for future use. How many possible different 10-digit phone numbers can be created in USA?

10. a. A machine shop has eight screw machines but only three spaces available in the production area for the machine. In how many different ways can the eight machines be arranged in the three spaces available?

b. A quality control randomly selects two of five parts to test for defects. In a group of five parts, how many combinations of two parts can be selected?

10. a. A machine shop has eight screw machines but only three spaces available in the production area for the machine. In how many different ways can the eight machines be arranged in the three spaces available?

b. A quality control randomly selects two of five parts to test for defects. In a group of five parts, how many combinations of two parts can be selected?

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