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Which of the following sets are finite and which are infinite?
Set of letters of the English Alphabets
Concept: undefined >> undefined
Which of the following sets are finite and which are infinite?
{x ∈ N : x > 5}
Concept: undefined >> undefined
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Which of the following sets are finite and which are infinite?
{x = ∈ N : x < 200}
Concept: undefined >> undefined
Which of the following sets are finite and which are infinite?
{x ∈ Z : x < 5};
Concept: undefined >> undefined
Which of the following sets are finite and which are infinite?
{x ∈ R : 0 < x < 1}.
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Compute:
(i)\[\frac{30!}{28!}\]
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Compute:
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Compute:
L.C.M. (6!, 7!, 8!)
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Prove that
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Which of the following statements are true? Give reason to support your answer.
(i) For any two sets A and B either \[A \subseteq B o\text{ or } B \subseteq A;\]
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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?
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Which of the following statements are true? Give reason to support your answer.
Every subset of an infinite set is infinite
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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
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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?
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Which of the following statements are true? Give reason to support your answer.
Every set has a proper subset
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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?
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Which of the following statements are true? Give reason to support your answer.
{a, b, a, b, a, b, ...} is an infinite set
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There are four parcels and five post-offices. In how many different ways can the parcels be sent by registered post?
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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
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