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kupik [55]
3 years ago
8

The access code for a​ car's security system consists of six digits. the first digit cannot be zero and the last digit must be e

ven . how many different codes are​ available?
Mathematics
1 answer:
Scrat [10]3 years ago
3 0
The first digit can only range from 1-9, resulting in 9 possible options. The last digit can only be 2, 4, 6, and 8, resulting in 4 possible options. The other four digits can range from 0-9, resulting in ten options for each. Using the fundamental counting principle, we can use the following equation to solve for the different amount of codes possible.
9 \times 10 \times 10 \times 10 \times 10 \times 4 \\ 360000

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Option C: The solution set is \{8\}

Explanation:

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Thus,  \ln 4=\ln 2^2=2\ln 2

Hence, the above expression becomes,

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Simplifying, we get,

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Applying the log rule, we get,

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Simplifying, we have,

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Hence, Option C is the correct answer.

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Step-by-step explanation:

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