How many possible unique deck orders can w • 1, 2, 3, 4, 5, 6, 7 to • 2, 6, 1, 7, 4, 3, 5 O 3 O 9 10 O 2

Q: A box contains 15 balls in which seven are green and eight are yellow. If five balls must be drawn…

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Q: In how many ways can we select a committee of five persons from a group of five women and six men…

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Q: 16. How many 6-element subsets of A = {0,1,2,3,4,5,6,7,8,9} have exactly three even

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Q: Nine persons enter a lift from ground floor of a building which stops in 10 floors (excluding ground…

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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: 8. Suppose Jack has 1 red ball, 1 orange ball, 1 blue ball, 1 yellow 1, 1 black ball and 1 green…

A: Given :  jack has 1red ,1 blue,1 orange,1 yellow,1 black and 1 green ball then no of arrangement to…

Q: If three alphabets are to be chosen from A, B, C, D and E such that repetition is not allowed then…

A: In question, Given that A, B, C, D and E are 5 alphabets then three alphabet are chosen from them…

Q: In how many ways can a committee of 5 be formed from 5 juniors, and 7 seniors, if the committee must…

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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: 9. How many 8 element subsets are there in P({a, b, c, d, e, f, g, h, i, j, k, 1, m, n, 0, p})? 10.…

A: We have give a set of 16 elements. We have to get how many subsets which consists 8 elements.

Q: A person can order a new car with a choice of 8 possible​ colors, with or without air​…

A: Permutation and combination are used to calculate the number of possible ways to arrange or select a…

Q: In how many ways can 3 Americans, 4 Frenchmen, 4 Danes, and 2 Italians be seated in a row so that…

A: We have given that  Americans = 3 Frenchmen = 4 Danes = 4 Italians = 2

Q: In how many ways can a committee of 5 be formed from 5 juniors, and 7 seniors, if the committee must…

A: GivenNo.of juniors = 5No.of seniors = 7Total no.of seniors and juniors=12

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

A: Solution :-

Q: 10. In how many ways can a team of 5 persons be formed out of a total of 10 persons such that two…

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Q: Six people, who are denoted by the letters A, B, C, D, E, F, are to occupy six adjacent seats in one…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: How many different ways can a club of 25 members fill the positions of president, vice president and…

A: Given: The positions to be filled by the club members are president, vice president, and Secretary.…

Q: A club has seven members. Three are to be chosen as a group to a national meeting. A) If the club…

A: Given Information:  Number of members in a group = 7  Number of men = 4  Number of women = 3

Q: how many different ways can the letters of the word JOYRIDE be arranged such that all letters are…

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Q: In how many ways can the letters u, v, w, x, y, z be arranged so that the letters u and v are…

A: Given: letters u, v, w, x, y, and z

Q: a. A fleet of sixteen taxis is to be dispatched to three airports in such a way that three go to…

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION , AS YOU POSTED A AND B TOTALLY…

Q: How many permutations of {1,2,3,4,5,6,7} have exactly one element fixed?

A: Using inclusion-exclusion principle to compute the given permutation: There are 71·6! ways to select…

Q: 1. How many 3-letter words with or without meaning, can be formed out of the letters of the word,…

A: 1. There are a total of 7 letters in the word 'MACHINE' If the repetition of letters is not allowed,…

Q: How many ways are there to select a set of 4 U.S. s

A: A combination is a mathematical technique that determines the number of possible arrangements in a…

Q: How many ways are there to arrange the letters m, n, o, p, and q such that neither m nor n is…

A: There are 5 letters in m, n, o, p, and q. We can arrange them in 5!= 120 ways   If m is followed…

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: so the S and T remain next to each other (though not necessarily in that order, so ST or TS are both…

A: Consider as S and T as one letter. So now the total number of English alphabet which needed to…

Q: How many strings of Seven English letters are there A) That contains no vowels, if letters can be…

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Q: From the letters {A, B, C, D, E, F. G}, how :many 3-distinct-letters codes can be (a) generated? (b)…

A: a) 7C3 distinct codes can be generated by {A,B,C,D,E,F,G} which is equal to 21

Q: A panel for a political forum is made up of 14 people from three parties, all seated in a row. The…

A: Given: A panel for a political forum is made up of of 14 people from three parties. The panel…

Q: How many permutations of {1,2,3,4,5,6,7,8} have exactly 15 inversions?

A: Introduction: The permutation is {1, 2, 3, 4, 5, 6}. The inversion sequence of the given permutation…

Q: 17) How many elements are in the union of four sets if the sets have 100, 150, 250, and 400…

A: Here, n(A)= 100, n(B), 150, n(C)=250, n(D)=400 n(A∩B)=15, n(A∩C)=15, n(A∩D)=15, n(B∩C)=15,…

Q: A certain committee consists of 7 people. From the committee, a president, a vice president, a…

A: Solution: We need to choose a committe of a president , a vice president, a , a secretary, and a…

Q: four cards labeled a,b,c and d are randomly placed in four boxes labeled a,b,c, and d. each box…

A: For first card there are 4 choices for next one there will be 3 choices and so on,...

Q: In how many ways could 16 people be divided into five groups containing respectively 4,2,3,6 and 1…

A: There are totally 16 people in which divided into five groups containing respectively 4,2,3,6 and 1…

Q: Suppose we have 5 alphabets (a, b, c, d, e) and 5 envelops (?1,?2,?3,?4,?5)   In how many ways we…

A: Suppose we have 5 alphabets (a, b, c, d, e) and 5 envelops (?1,?2,?3,?4,?5)   In how many ways we…

Q: 2. How many distinct permutations can be formed from all the letters of the word THREE?

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Q: 1. Find the number of permutations of the elements in the set 1,3,5,7,9,11. 2. How many different…

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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: How many strings of five uppercase English letters are there (a) that start or end with the letters…

A: a) Given that starts and ends with letter BO i.e if started with BO then next 3 Letters can be…

Q: There is a set of 10 jobs in the printer queue. Two of the jobs in the queue are called job A and…

A: Solution: Options (b) is correct

Q: 2) How many elements are in the union of 5 sets if the sets contain 10,000 elements, each pair of…

A: Given that there are 5 sets and sets contains 10,000 elements, each pair of sets has 1000 elements,…

Q: In how many ways can 4 t-shirts, 7 denims, and 4 coats be arranged in a clothing store shelf section…

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Q: If a committee of 8 members is to be formed from 8 sophomores and 5 freshmen such that there must be…

A: The total given sophomores are 8 and 5 are the freshmen. Committee of members will be formed by 5…

Q: 1. In how many ways can a a boy and a girl be selected from a group of five boys and six girls? 2.…

A: According to bartleby policy I have solved first question. I hope it will help you...

Q: How Many perMutations of the digits 0, I, 2, 3. 4, 5, 6, 7, 8, 9 are there in which the digitss…

A: The permutation represents the number of ways something can be arranged. In permutations or…

Q: in how many ways could 17 people be divided into five groups containing respectively 1 2 5 6 and 3…

A: The total number of people is 17.

Q: How many permutations of the 26 letters (English alphabet) do not contain any of the strings zero,…

A: Total number of permutations of 26 letters  (N) = 26! Number of permutations in which ZERO always…

Q: Nine cards are marked with the numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9​, then​ shuffled, and three…

A: We have cards marked with numbers from 1,2,3,4,5,6,7,8,9 We have to draw three cards without…