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Which of the following statements are true? Give reason to support your answer.
{a, b, c} and {1, 2, 3} are equivalent sets
Concept: undefined >> undefined
Which of the following statements are true? Give reason to support your answer.
A set can have infinitely many subsets.
Concept: undefined >> undefined
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A coin is tossed five times and outcomes are recorded. How many possible outcomes are there?
Concept: undefined >> undefined
State whether the following statements are true or false:
\[1 \in \left\{ 1, 2, 3 \right\}\]
Concept: undefined >> undefined
In how many ways can an examinee answer a set of ten true/false type questions?
Concept: undefined >> undefined
State whether the following statements are true or false:
\[a \subset {b, c, a}\]
Concept: undefined >> undefined
A letter lock consists of three rings each marked with 10 different letters. In how many ways it is possible to make an unsuccessful attempt to open the lock?
Concept: undefined >> undefined
State whether the following statements are true or false:
\[\left\{ a \right\} \in \left\{ a, b, c \right\}\]
Concept: undefined >> undefined
State whether the following statements are true or false:
\[\left\{ a, b \right\} = \left\{ a, a, b, b, a \right\}\]
Concept: undefined >> undefined
There are 6 multiple choice questions in an examination. How many sequences of answers are possible, if the first three questions have 4 choices each and the next three have 2 each?
Concept: undefined >> undefined
State whether the following statements are true or false:
The set {x ; x + 8 = 8} is the null set.
Concept: undefined >> undefined
There are 5 books on Mathematics and 6 books on Physics in a book shop. In how many ways can a students buy : (i) a Mathematics book and a Physics book (ii) either a Mathematics book or a Physics book?
Concept: undefined >> undefined
Decide among the following sets, which are subsets of which:
\[A = {x : x \text{ satisfies } x^2 - 8x + 12 = 0},\]
\[B = \left\{ 2, 4, 6 \right\}, C = \left\{ 2, 4, 6, 8, . . . \right\}, D = \left\{ 6 \right\} .\]
Concept: undefined >> undefined
Write which of the following statements are true? Justify your answer.
The set of all integers is contained in the set of all set of all rational numbers.
Concept: undefined >> undefined
Write which of the following statement are true? Justify your answer.
The set of all crows is contained in the set of all birds.
Concept: undefined >> undefined
Write which of the following statement are true? Justify your answer.
The set of all rectangle is contained in the set of all squares.
Concept: undefined >> undefined
Write which of the following statement are true? Justify your answer.
The set of all real numbers is contained in the set of all complex numbers.
Concept: undefined >> undefined
Write which of the following statement are true? Justify your answer.
The sets P = {a} and B = {{a}} are equal.
Concept: undefined >> undefined
Write which of the following statement are true? Justify your answer.
The sets A = {x : x is a letter of the word "LITTLE"} and,B = {x : x is a letter of the word "TITLE"} are equal.
Concept: undefined >> undefined
Given 7 flags of different colours, how many different signals can be generated if a signal requires the use of two flags, one below the other?
Concept: undefined >> undefined
