14. How many one-to-one functions are there from a set with five elements to sets with the following number of elements? а) 4 b) 5 c) 6 d) 7

Q: How many one-to-one functions are there from a set with five elements to a set with four elements?

A: The objective is to find the number of one-to-one functions is there from a set with 5 elements to…

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Q: Explain whether each of the following sets is countable or uncountable.  A= {x∈Q|−100≤x≤100}…

A: A= {x∈Q|−100≤x≤100} This is the subset of Raitional Number. And we know that Rational number Q is…

Q: How many one-to-one functions are there from a set with m elements to a set with n elements, where…

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Q: The set of numbers in the form , where a and b belong to the set in Exercise 8 and b # 0, is called…

A: Rational numbers are represented in the form of pq where q≠0.

Q: Express (4, 10) as a set {x : |x – al < c} for suitable a and c.

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Q: Q.A. Is the nonnepatibe orthaut %(D t. a cohvek set?

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Q: (4.2) For sets A, B and C, prove that (An B) x C = (A x C) n(B x C).

A: Here we have to prove that (A∩B)×C=(A×C)∩(B×C)

Q: 5. Define two sets, call them A and B, that makes the following statement true; if it is impossible…

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Q: 4. Is the set Q² x {a,b,c} countable or uncountable? You must justify your answer with a proof.

A: Given : ℚ2×a , b ,c  To Prove : ℚ2×a , b ,c  countable or uncountable

Q: S is a nonempty set of real numbers that is bounded.

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Q: 4) State the condition for equivalnce for measurable set. being a lebesgue

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Q: Let A, B and C be sets such that Al = 17 |B= 10 C= 11 and the intersection of any two of these sets…

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Q: Let A = { 2, 3, 4} and B = { 6, 8, 10 } and define a relation R from A to B as follows: For all…

A: Using relation property,

Q: 3. Are the following sets countable or uncountable? Justify your answer with a proof. (a) {2" |n e…

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Q: Express (4, 10) as a set {x : |x − a| &lt; c} for suitable a and c

A: Write the given interval in inequality form as follows: 4&lt;x&lt;10

Q: How many one-to-one functions are there from a set with three elements to a set with eight elements?

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Q: Use the listing method to express the set S = ((1,3] x {2,4}) n z².

A: Given, S=(1,3]×{2,4}∩ℤ2 We have to express it in the Listing method, As we know, ℤ2=(a,b) where…

Q: How many different size of infinity are there? How does it relate to one-to-one correspondence?

A: There are actually many different sizes or levels of infinity; some infinite sets are vastly larger…

Q: @ (А-В)- С 3 (А - С) - В

A: Introduction :

Q: the book is "First Course on Fuzzy Theory and Applications"

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Q: List the elements of set D = { x:x є N, x is a multiple of 5} where N= {1, 2, 3, ...}.

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Q: For what values of n will the set of ordered pairs {(1,5),(2,4),(n,3),(n+ 1,2),(n + 2,1)} represent…

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Q: will be prepared using i= 0.5, the lowest clas 18. The true limits or the class boundaries of the…

A: 18 From the part 17, the lowest class interval is (6.4, 6.9).

Q: let A be a set with n elements and B a set with m elements. How many different functions are there…

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Q: Let A and Bbe finite sets satisfying |A|= 9, B| = 6 and |An B = 2. Calculate the following: () |AUB…

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Q: Consider the word TORTOISE. Count the number of arrangements of this word (a) such that no two…

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Q: A set consisting of single point has measure zero .A O nonzero measure .B O open .C O none of…

A: We have to find the measure

Q: If geRla,b] and if h(w)= gcu) encept %D finite number f points for [a, b],'then and in of prove that…

A: First we have to divide the set into finite subsets of x intervals required.

Q: Let'Y be the set of f bleod types B+ Hat type Connot donate blood to.

A: Here, X is the set of blood types AB- can donate blood. AB- can donate blood to AB- and AB+ Hence,…

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Q: 7. Show that the Obenchain class LOb(B) is a convex set.

A: Given: To show the Obenchain class LOb (β) is a convex set is given as,

Q: Is A countable or uncountable?

A: This is a problem of real numbers properties of topology.

Q: is the set [5,100] compact?

A: Given that:A set is S=5,100.We have to check whether a set 5,100 is compact or not?

Q: 5. Differentiate with respect to x: SET A. 5e

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Q: (a) How many functions are there from {1,2,3,4,5} to {A, B, C}? (b) How many onto functions are…

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Q: Express (4, 10) as a set {x: Ix - al&lt; c} for suitable a and c.

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Q: 5. (a) How many functions are there from a set with n elements to a set with m elements?

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Q: 4. Define two sets, call them A and B, that makes the following statement true; if it is impossible…

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Q: Let {$,}nEN is a disjoint seqeuence of measurable sets , then: 00 00 n=1

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