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Ifย ๐‘›(๐ด) = 8, what isย ๐‘›(๐ดร—๐ด)?

Question

Ifย ๐‘›(๐ด) = 8, what isย ๐‘›(๐ดร—๐ด)?

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Solution

The notation ๐‘›(๐ด) typically refers to the number of elements in set ๐ด. However, ๐‘›(๐ดร—๐ด) refers to the number of elements in the Cartesian product of ๐ด with itself.

The Cartesian product of a set with itself is the set of all ordered pairs (a, b) where a and b are elements of the set.

So, if ๐‘›(๐ด) = 8, that means there are 8 elements in set ๐ด.

Therefore, ๐‘›(๐ดร—๐ด) would be 8 * 8 = 64, because for each of the 8 elements in ๐ด, there are 8 possible pairs in ๐ดร—๐ด.

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Similar Questions

A function ๐‘“(๐‘ฅ) has the property that, for all positive ๐‘ฅ, 3๐‘“(๐‘ฅ)+7๐‘“(2016๐‘ฅ)=2๐‘ฅ.What is the value of ๐‘“(8)?

If lim๐‘ฅโ†’2๐‘“(๐‘ฅ)=3๐‘ฅ and lim๐‘ฅโ†’2๐‘”(๐‘ฅ)=4๐‘ฅ2โˆ’5, what is lim๐‘ฅโ†’2๐‘”(๐‘“(๐‘ฅ))?

๐‘’ln(7๐‘ฅ)=3

๐‘“(๐‘ฅ) = ๐‘ฅ3 + 3๐‘ฅ โˆ’ 4

. ๐‘“(๐‘ฅ) = 3๐‘ฅ4 โˆ’ 4๐‘ฅ3

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