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Set \( V \) is all the unique three-digit numbers using the digits \( 1,2,3,4 \), and 5 . Which set would be considered a subset of set \( V \) ? Set \( W \) is all the unique three-digit numbers using the digits 1,3 , and 5 . Set \( X \) is all the unique three-digit numbers using the digits 2,4 , and 6 . Set \( Y \) is all the unique three-digit numbers using the digits 0,2 , and 4 . Set \( Z \) is all the unique three-digit numbers using the digits 3,5 , and 7 .

Ask by Jimenez Nichols. in the United States
Jan 21,2025

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Set \( W \) is a subset of set \( V \).

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To determine which set is a subset of set \( V \), we first look at the digits used in each set. Set \( V \) consists of the unique three-digit numbers formed using the digits \( 1, 2, 3, 4, \) and \( 5 \). Set \( W \) uses the digits \( 1, 3, \) and \( 5 \), which are all contained within set \( V \), making it a valid subset. Sets \( X, Y, \) and \( Z \) use digits that include \( 6, 0, \) and \( 7 \) respectively, which are not in set \( V \). Therefore, they cannot be subsets. Thus, the only set that is a subset of set \( V \) is set \( W \).

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