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4 years ago

A _______ represents the idea of "if and only if." Its symbol is a double arrow, left right arrow↔.

Mathematics

1 answer:

Bond [772]4 years ago

4 0

Answer:

A <u>bi-conditional statement</u> represents the idea of "if and only if." Its symbol is a $\leftrightarrow$ .

Step-by-step explanation:

We have been given an incomplete sentence. We are supposed to fill in the given blank.

A _______ represents the idea of "if and only if." Its symbol is a $\leftrightarrow$ .

We know that "if and only if" stands for bi-conditional statement, which represents either both statements are true or both are false.

The symbol $\leftrightarrow$ represent a bi-conditional statement.

Therefore, our complete statement would be: A <u>bi-conditional statement</u> represents the idea of "if and only if." Its symbol is a $\leftrightarrow$ .

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Answer:

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Step-by-step explanation:

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2 years ago

slader How many partitions of the set {1, 2, 3, . . . , 100} are there such that there are exactly three parts and elements 1, 2

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Answer:

$3^{97}$ partitions.

Step-by-step explanation:

As we know if we have x number of elements we can arrange them in x! ways.

here we have 100 elements so we can arrange them in 100! ways.

Now if we have exactly three parts and 1,2 and 3 are in different parts then let consider 1 goes to part 1, 2 goes to part 2, and 3 goes to part 3. For the remaining 97 elements, we have three options for each element, thus we can arrange the remaining 97 elements in $3^{97}$ ways/partitions.

each of these partition will contain only three elements.

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4 years ago