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Prove that
Concept: undefined >> undefined
Which of the following statements are true? Give reason to support your answer.
(i) For any two sets A and B either \[A \subseteq B o\text{ or } B \subseteq A;\]
Concept: undefined >> undefined
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In a class there are 27 boys and 14 girls. The teacher wants to select 1 boy and 1 girl to represent the class in a function. In how many ways can the teacher make this selection?
Concept: undefined >> undefined
Which of the following statements are true? Give reason to support your answer.
Every subset of an infinite set is infinite
Concept: undefined >> undefined
A person wants to buy one fountain pen, one ball pen and one pencil from a stationery shop. If there are 10 fountain pen varieties, 12 ball pen varieties and 5 pencil varieties, in how many ways can he select these articles?
Concept: undefined >> undefined
Which of the following statements are true? Give reason to support your answer.
Every subset of a finite set is finite
Concept: undefined >> undefined
From Goa to Bombay there are two roots; air, and sea. From Bombay to Delhi there are three routes; air, rail and road. From Goa to Delhi via Bombay, how many kinds of routes are there?
Concept: undefined >> undefined
Which of the following statements are true? Give reason to support your answer.
Every set has a proper subset
Concept: undefined >> undefined
A mint prepares metallic calendars specifying months, dates and days in the form of monthly sheets (one plate for each month). How many types of calendars should it prepare to serve for all the possibilities in future years?
Concept: undefined >> undefined
Which of the following statements are true? Give reason to support your answer.
{a, b, a, b, a, b, ...} is an infinite set
Concept: undefined >> undefined
There are four parcels and five post-offices. In how many different ways can the parcels be sent by registered post?
Concept: undefined >> undefined
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
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
