Let A = ,2,3,45,6,73 How many subsets ot Contriin d) How many anly even numbers? subsets. ot A number of contain an even elementi?

Q: &2/ suppost se =20, 1} and c={208{ fie ld =20,18 and e= Enumerate the class of all 6- Containing C…

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Q: Assume that the set S has 7 elements. How many subsets of S have at most 3 elements?

A: Given information- We have given that the set S has 7 elements. We have to find the number of subset…

Q: Q2. Count the number of seven-card hands that can be drawn from a standard deck such that the hand…

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Q: Suppose that the number of subsets with k elements, made out of a set of n elements is called by the…

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Q: 24 Consider a set {1, 2, 3, ..., 19, 20}. How many subsets of 6 elements a) contain four even and…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: How many permutations of the letters A, B, C, D, E, F, G are there in which the three letters ABC…

A: Given letters are : A, B, C, D, E, F, G. and it is given that three letters A, B and C appears…

Q: A combination is a selectio objects from а. n objects

A: Combination is a technique which represents the number of possible outcomes from n objects

Q: 5. How many 2-permutations are there of a set of eight objects?

A: We know that,  The formula pf permutations is,  nPr = P(n, r) = n!/(n-r)!

Q: O Show that if A is finite, then P (A) is finite.

A:

Q: 5.75. Assuming a cell can be empty, find the number n of ways that a set with 4 elements can be…

A: The number of ways in which a 4 elements set can be selected is 1 Therefore the number of ways in…

Q: A(n) _______ is an ordered arrangement ofr objects chosen from n objects.

A: We fill the blank space as

Q: Suppose S= {a,b,c,d,e,f,g}. How many different three element subsets of S are there? How many…

A: We are given that S= {a, b, c, d, e, f, g}. First, we need to find the number of subsets (different)…

Q: Determine the number of permutations of the set {1 ,2 ,..., 14} in which exactly 7 integers are in…

A: Solution-:

Q: In how many ways can we compose a word of 3 letters from the set {X, Y, Z, F, S} if repetition is…

A: Given, Letter set  = {X, Y, Z, F, S}  words should be 3 letters,

Q: Recall that hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A,…

A: We know that, Hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,…

Q: (b) How many three digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7 and 8 such…

A: Given Digits: 0,1,2,3,4,5,6,7 & 8

Q: How many distinguished permutations of the set of letters, {a,b, c, c, d, d, d} can be formed.

A: Given that, {a, b, c, c, d, d, d} a = 1 b = 1 c = 2 d = 3

Q: 6. Show that for n attributes A, A2, A3, ..., An (A, Az Az ... A, ) > ( A, ) + ( A2 )-(A3) + ... + (…

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Q: A) How many integers, greater than or equal to10000 but less than or equal to 39999, can be formed…

A: Note :- We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 2.24 Students at a private liberal arts college are clas- sified as being freshmen, sophomores,…

A: Given: Students are classified as freshmen, sophomores, juniors and seniors. Hence, number of…

Q: How many permutations are there of all the letters in the word STARBUCK if. a) the first letter is a…

A: Given word STARBUCK To find The total number of permutations in each case.

Q: How many different user ID's can be formed from the letters W, X, Y, Z if no repetition of letters…

A: question:

Q: (a) How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 if…

A: The counting can be done in 2 different ways, i.e. in first case the 1st digit can be 3 and in the…

Q: (a) At most 1 car are black. (b) At least 2 cars are black.

A:

Q: Let A = {n,o,p,q}. a. How many subsets does A have? b. How many proper subsets does A have? c. How…

A: Proceed as shown

Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and    B = { 2, 3, 5, 7 }. Find A ∩ B and hence show that A…

A: A ∩ B = {1,2,3,4,5,6,7,8,9,10} ∩ {2,3,5,7}           = {2,3,5,7}           = B

Q: Let U be the set of all integers from 1 to 20. Let A = {3, 6, 8, 12, 15, 18} and B = {1, 2, 3, 5, 8,…

A: Universal set: The universal set is the largest set containing the elements of all the related sets…

Q: (d) How many subsets V of A are there so that 1 € V or VOB= Ø? Explain.

A: This question related to set theory . Solution is given below.

Q: 19. For all sets A, B, and C, if AC BandACC then AC BnC.

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Q: Let S be a subset of {1,2,...99} with exactly 10 elements. Show that S has two disjoint subsets with…

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Q: Suppose a baseball team has 9 players. How many possible batting orders of those players can be…

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Q: If A (5, 7, 8, 9}, B = {3, 4, 5, 6} and C = {2, 4, 6, 8, 10}; wheren is total number of distinct…

A: Consider two sets A and B. Then the union of these two sets contain all the elements in both A and…

Q: How many permutations of the letters ABCDEFGH contain the strings BA and FGH ?

A: We have to determine the number of permutations of the letters ABCDEFGH which contain the strings BA…

Q: a person can order a new car with a choice of 6 possible colors,with or without air conditioning,…

A: The total number of choice of colours of new car = 6Total choice of air conditioning = 2Total choice…

Q: Let A = (2,3, 4, 6, 7) and B= (1,2,3,5,6). WW hat is A n B' ? (4,7) Osomething else (1.2,34,7)…

A: We have given that  A = { 2, 3, 4, 6, 7 } and B = { 1, 2, 3, 5, 6 }.

Q: How many elements are in A ∩ B  U= {1,2,3,4,5,6,7} A={1,2,4,5} B={1,3,5,7

A: Given:

Q: (a) How many 4-permutations are there of a set of six objects? (b) How many 2-permutations are there…

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Q: (a) How many 4-permutations are there of a set of five objects? (b) How many 2-permutations are…

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Q: Let D be a standard deck of cards, let SV = {A♡, K♡,Q♡, JO}. a) List all the subsets of S♡ that…

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A: To find all the permutations of the 4 objects a ,b, c, and d, taken 3 at a time.

Q: How many unique 5 card hands can be drawn from a deck of cards? (A hand would be formed by drawing…

A: A deck of card has 52 cards. Now we can draw 1st card in 52 ways. Each of these 52 ways we can draw…

Q: Is {2,2}={2, {2} }? How many elements are in the set {a,a,a,a,a}? {x€N|xis greater than 10 and x…

A: First we have to check 2,2=2,2. Here in set 2,2 2 is the element but in 2,2 2 and 2 are the…

Q: Let T = {1, 2, 3, 4, 5, 6, 7, 8, 9}. If five integers are chosen from T, must there be two integers…

A: Concept used: The Pigeonhole principle states that if k+1 objects are to distributed in k boxes then…

Q: 98how' that the Set cwith the o perations

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Q: Recall that hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A,…

A:

Q: Show that for n attributes A1, A2, A3, ..., A, (Aj A2 Az ... A, ) 2( Aj ) + ( A2 ) + ( A3 ) + ... +…

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Q: 11 How many 6-letter words (even without meaning) can be created from the letters of the word…

A: There are several powerful methods for counting objects and sets of objects without actually having…

Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9}. a. How many subsets of A are there? That is, find |P(A)|. b.…

A: Set A=1, 2, 3, 4, 5, 6, 7, 8, 9 i.e. A has a total of 9 elements.

Q: Assume that A = { 1, 3, 5, 8, 9}and that U = set of natural numbers less than 11. Find A'. * O {2,…

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