Question 4 All 5-digit ZIP codes in the state of Wisconsin start with either 53 or 54. For example, the ZIP code in Madison, WI is 53702 and the ZIP code in Catawba, WI is 54515. How many ZIP codes are possible to usin the state of Wisconsin?

Question 4 All 5-digit ZIP codes in the state of Wisconsin start with either 53 or 54. For example, the ZIP code in Madison, WI is 53702 and the ZIP code in Catawba, WI is 54515. How many ZIP codes are possible to us\in the state of Wisconsin?

Answer: 2000

Explanation: Subject: Math — basic counting / combinatorics. Concept used: Fundamental Counting Principle (multiply independent choices).

Steps:

  1. The first two digits are fixed to be either 53 or 54 → 2 choices.
  2. Each of the remaining three digits can be 0–9 independently → \(10^3 = 1000\) choices.
  3. Total possible ZIP codes = \(2 \times 1000 = 2000\).

(Assumption: all 5-digit combinations with those starting digits, including endings like 000, are allowed.)

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