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Discrete Mathematics | Multisets MCQs

Discrete Mathematics | Multisets MCQs: This section contains multiple-choice questions and answers on Multisets in Discrete Mathematics.
Submitted by Anushree Goswami, on July 10, 2022

1. In a multiset, elements are arranged in an unordered manner, with elements having a multiplicity of _____?

1. One
2. More than one
3. Zero
4. All of the above

Answer: D) All of the above

Explanation:

In a multiset, elements are arranged in an unordered manner, with elements having a multiplicity of one, more than one, or none.

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2. In a multiset, multiplicity refers to the ____ with which an element is repeated.

1. Frequency
2. Audacity
3. Range
4. Sequence

Answer: A) Frequency

Explanation:

In a multiset, multiplicity refers to the frequency with which an element is repeated.

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3. Which of the following is/are an/the operation(s) on multisets?

1. Union of Multisets
2. Intersection of Multisets
3. Difference of Multisets
4. All of the above

Answer: D) All of the above

Explanation:

The following are the operations on multisets -

1. Union of Multisets
2. Intersection of Multisets
3. Difference of Multisets

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4. As the multisets A and B are unions, their multiplicities are equal and denoted by A ∪ B. A ∪ B represents a multiset where the multiplicity of an element ____ the maximum of its multiplicities in both sets?

1. Is greater than
2. Is lesser than
3. Equals
4. Equivalent to

Answer: C) Equals

Explanation:

As the multisets A and B are unions, their multiplicities are equal and denoted by A ∪ B. A ∪ B represents a multiset where the multiplicity of an element equals the maximum of its multiplicities in both sets.

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5. A multiset intersecting with another multiset, B, has a multiplicity equal to the minimum of the multiplicity of an element in each set, and is denoted by ___?

1. A ∩ B
2. A ∪ B
3. A * B
4. A + B

Answer: A) A ∩ B

Explanation:

A multiset intersecting with another multiset, B, has a multiplicity equal to the minimum of the multiplicity of an element in each set, and is denoted by A ∩ B.

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6. Multisets are considered difference multisets if there is a _____ difference between them. An element's multiplicity of an element is equal to the multiplicity of the element in A minus the multiplicity of the element in B?

1. Positive
2. Negative
3. Both A and B
4. None of the above

Answer: C) Both A and B

Multisets are considered difference multisets if there is a positive or negative difference between them. An element's multiplicity of an element is equal to the multiplicity of the element in A minus the multiplicity of the element in B.

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7. A multiset whose multiplicity equals the ___ of an element in two multisets A and B is called a multiset whose multiplicity equals the multiplicity of that element in two multisets?

1. Sum
2. Minus
3. Multiply
4. Division

Answer: A) Sum

Explanation:

A multiset whose multiplicity equals the sum of an element in two multisets A and B is called a multiset whose multiplicity equals the multiplicity of that element in two multisets.

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8. When a multiset is called cardinal, it refers to the number of ____ elements without taking into account their multiplicity?

1. Distinct
2. Similar
3. Average
4. Real

Answer: A) Distinct

Explanation:

When a multiset is called cardinal, it refers to the number of distinct elements without taking into account their multiplicity.

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9. A set of distinct objects that is ordered is referred to as an ____ set?

1. Unordered
2. Ordered
3. Distinct
4. Indistinct

Answer: B) Ordered

Explanation:

A set of distinct objects that is ordered is referred to as an ordered set.

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10. ___ elements form an Ordered Pair, with the first element being designated as the first member and the second element being designated as the second member?

1. Two
2. Three
3. Four
4. Multiple

Answer: A) Two

Explanation:

Two elements form an Ordered Pair, with the first element being designated as the first member and the second element being designated as the second member.

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11. If there are two ordered pairs, then an ordered triple would be written as ____?

1. {(a, b, c)}
2. {(a, b)) c)}
3. (a, b) c}
4. {(a, b) c}

Answer: D) {(a, b) c}

Explanation:

If there are two ordered pairs, then an ordered triple would be written as {(a, b) c}.

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12. In an ordered quadrable, the first element is an ordered triple and it is denoted by ____?

1. {(((a, b, c)) d)}
2. {((a, b), c) d)}
3. {(a, b), c) d)}
4. {(((a, b), c) d)}

Answer: D) {(((a, b), c) d)}

Explanation:

In an ordered quadrable, the first element is an ordered triple and it is denoted by {(((a, b), c) d)}.

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13. The first element of an ordered n-tuple is an ordered (____) tuple, while the nth element is an ordered n-tuple?

1. n
2. n+1
3. n-1
4. n^2

Answer: C) n-1

Explanation:

The first element of an ordered n-tuple is an ordered (n - 1) tuple, while the nth element is an ordered n-tuple.

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