Q:
A very important property of an equivalence relation on a set \( S \) is that it divides \( S \) into
Q:
Which Indigenous American tribes in particular fought back against federal policies of expulsion?
(A) The Sauk and Cherokee
(B) The Seminoles and Pueblo
(C) The Cherokee and Shawnee
(D) The Sauk and Seminoles
Q:
Let A be any set. The function \( I A: A \rightarrow A \) : such that \( I A(a)=a \) is called
Q:
If a function is both one-one and onto, it is called
Q:
If \( f \) associates with \( a \in A \), the element \( b \) of \( B \), we write \( f(a)=b \). Then set \( f \)
\( (A)=\{f(a) \mid a \in A\} \) is called
Q:
Who determined the presidential winner during the election of 1800 ?
(A) The Senate
(B) The Electoral College
(C) George Washington
(D) The House of Representatives
Q:
Which American political party allied itself with France during the French Revolution and subsequent war with Britain?
(A) Both Federalists and Republicans
(B) Federalists
(C) Neither party
(D) Republicans
Q:
Let \( f: A \rightarrow B \) be a function. Which of this following is false
Select one:
Two or more elements of \( A \) could be associated with the same element of \( B \)
For each element of \( A \), we associate only one element of \( B \)
Two or more elements of A could not be associated with the same element of B
For each element of \( A \), we associate some element of \( B \)
Q:
Given that \( A=\{1,2,23\} \) and \( B=\{4,6\} \), then find \( B \times A \)
Select one:
\( \begin{array}{l}\text { \{(4, 1), }(4,3),(6,1),(6,2),(6,3)\} \\ \{(4,1),(4,2),(4,3),(6,1),(6,2)\} \\ \{(1,4),(2,4),(2,6),(3,4),(3,6)\} \\ \\ \{(4,1),(4,2),(4,3),(6,1),(6,2),(6,3)\}\end{array} \)
Q:
Let \( G \) be a group of order 12. Which of the following is a possible order of a subgroup of \( G \) ?
Select one:
5
8
7
6
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