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jeka57 [31]
1 year ago
11

A bunch of computer scientists take over an island and start their own country. They want the license plates to use binary numbe

rs. There's space for 7 digits on each license plate and the first plate starts at 000000000000000000000.
How many unique license plates can their country support? Answer in decimal:
Computers and Technology
1 answer:
Thepotemich [5.8K]1 year ago
5 0

Answer:

  • <em>Their country can support </em><u><em>   128   </em></u><em>unique license plates</em>

Explanation:

Since there is space for<em> 7 digits </em>on each <em>license plate</em>, the first plate starts at <em>0000000 </em>(seven 0).

<em>Binary numbers</em> contain only the digits 0 and 1.

Thus, there are only two possibilities for each digit.

Using the multiplication counting principle, the number of total different binary numbers, with seven digits is 2 multiplied seven times:

  • 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2⁷ = 128 ← answer
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