{
  "translations": {
    "en": {
      "duporder": {
        "type": "select",
        "description": "An element is in the set, or it's not. When you write out the values for a set, it doesn't matter if you write them more than once, or what order you write them in. It's the same set.",
        "question": "Let $P = \\{7, 11, 42\\}$. What are some other ways that you can write $P$?",
        "answer": ["$\\{42, 11, 7\\}$", "$\\{42, 7, 7, 11\\}$"],
        "choices": ["$\\{42, 11, 7\\}$", "$\\{42, 7\\}$", "$\\{42, 7, 7, 11\\}$","$\\{42, 7, 6, 11\\}$"]
      },
      "elements": {
        "type": "multiple",
        "description": "Set members are typically drawn from some larger population known as the base type",
        "question": "If $P = \\{7, 11, 42\\}$, what is the base type of it's elements?",
        "answer": ["Integers"],
        "choices": ["Integers", "Letters", "Real Numbers"]
      },
      "members": {
        "type": "select",
        "description": "Each member of a set is either a primitive element of the base type or is a set itself.",
        "question": "Let $P = \\{a, b, c, \\{d, e\\}, \\{f\\}\\}$. Which of the following are an element in the set?",
        "answer": ["$a$","$b$","$c$","$\\{d, e\\}$","$\\{f\\}$"],
        "choices": ["$a$","$b$", "$c$", "$d$", "$e$","$\\{d\\}$","$\\{d, e\\}$","$f$","$\\{f\\}$"]
      },
      "bag": {
        "type": "multiple",
        "description": "A collection of elements with no order (like a set), but with multiple copies of elements is called a :term:`bag`. To distinguish bags from sets, we will use square brackets [] around a bag's elements.",
        "question": "For sets, $\\{3, 4, 5, 4\\} = \\{3, 4, 5\\}$.<br/>[T/F] Bag $[3, 4, 5, 4] = [3, 4, 5]$.",
        "answer": "False",
        "choices": ["True", "False"],
        "correctFeedback": ["Bags have duplicates, so repeating an element makes it different from not repeating the element."]
      },
      "sequence": {
        "type": "multiple",
        "description": "A :term:`sequence` is a collection of elements with an order, and which may contain duplicate-valued elements. A sequence is also sometimes called a :term:`tuple` or a :term:`vector`. In a sequence, there is a 0th element, a 1st element, 2nd element, and so on. We will use angle brackets $\\langle\\rangle$ to enclose the elements of a sequence.",
        "question": "For sets, $\\{3, 4, 5\\} = \\{5, 4, 3\\}$.<br/>[T/F] Sequence $\\langle 3, 4, 5\\rangle = \\langle 5, 4, 3\\rangle$.",
        "answer": "False",
        "choices": ["True", "False"],
        "correctFeedback": ["Sequences have order, so changing the order of the elements makes it a different sequence."]
      }
    }
  }
}