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CMP4268 Mathematics for Computing A S1 2024/5

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Adam tosses a coin and throws a regular 6-sided die. What is the probability that he gets a tail and a 6?
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Express  using engineering notations.

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Take the digits . How many ways are there of choosing three different elements?

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In a group, 3 students are chosen for a presentation out of 8, how many different ways are there?

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Which

is the correct Boolean expression for English statement "

If the

firewall is disabled, then the network is vulnerable to attacks.” 

where

: The firewall is disabled.

: The network is vulnerable to attacks.

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If , and , and what is the element in the first row and second column of the matrix .

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If and , what is ?

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If what is the transpose of

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Compute the determinant of the following matrix:

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