Question: I need your support to understand and solve below Question a) In a certain country telephone numbers have 9 digits. The first two digits are

I need your support to understand and solve below Question

a) In a certain country telephone numbers have 9 digits. The first two digits are the area code and are the same within a given area. The last '3' digits are the local number and cannot begin with 0. How many different telephone numbers are possible within a given area code in this country? b) How many of the numbers, 100, 101.. . . .999, have three different digits in increasing order or in decreasing order? c) A mission to Mars will consist of 4 astronauts selected from 14 available. Exactly 5 of the 14 are trained in exobiology. If the mission requires at least 2 trained in exobiology, how many different crews can be selected? (1) How many ordered, nonnegative integer triples (x, y, z) satisfy the equation x + y + z = 11

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