How many permutations of {1, 2, 3, 4, 5, 6, 7} leave exactly 1 element fixed?

Q: How many permutations of a set five distinct objects taken three at a time are there?

A: Given:-                 How many permutations of a set five distinct objects taken three at a time…

Q: How many permutations are possible with the letters TENNESSEE? If a student is to answer any 6…

A: Permutation is how many different ways are there for arranging n objects in r objects. where n>r…

Q: Assume the cards are drawn sequentially and without replacement. (permutations) In how many ways…

A: Given data, given that 5 Spades can be drawn from a standard deck of 52 cards. The cards are drawn…

Q: a) Without restriction? b) With each person getting at least one pear?

A: The objective is to distribute eight (identical) apples, six oranges, and seven pears among three…

Q: Find the number of distinguishable permutations of: 3 Cs, 6 Is, and 2 Ms

A: We have letter C 3 times, letter L 6 times and letter M 2 times.

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: How many permutation can we make if we have 12 elements and use 4 at a time?

A: Given data:   The total numbers of elements are n=12. The numbers of elements used at a time are…

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: How many permutations π of [10] satisfy π^5 = 1?

A: The given set is 10=1,2,3,…,10. Therefore any permutation π of 10, is bijective function from the…

Q: Suppose that a class of 20 students is assigned to write an essay.       Suppose 3 essays are…

A: Total number of students = 20 Total number of groups of selecting 3 essays can be obtained as:

Q: 7) Suppose that a class of 20 students is assigned to write an essay. Suppose 4 essays are picked at…

A: Total number of students in class = 20 Number of essays to be picked at random = 4

Q: Three adults and five children are seated randomly in a row. In how many ways can this be done if…

A: Option(1) is correct

Q: How many subsets of S do not contain any upper case letters?

A: given set S=A,B,a,b,c,d,1,2,3,4 claim- to find how many subsets of Sdo not contain any upper case…

Q: Can you give me an example of What is Permutations Rule (when all of the items are different?

A: Permutation rule:There are n different items and r number of selections and the selections are made…

Q: How many permutations of the numbers (1, 2, 3, 4, 5, 6, 7, 8, 9} have the numbers 4, 5 and 6 in…

A: So, the numbers 4, 5 & 6 should remain at their natural position and the other numbers can…

Q: An jar contains 4 orange​, 6 ​green, and 3 purple necklace charms. In how many ways can 3 necklace…

A: It is given that the A jar contains 4 orange​, 6 ​green, and 3 purple necklace charms. So that the…

Q: If 4 marbles are picked randomly from a basket containing 5 blue marbles and 8 yellow marbles, in…

A: This is the problem of combinatorial.

Q: Find the number of permutations using four different numbers (2,5,11,30) if they are taken 2 at a…

A: Given that, Four different numbers are (2,5,11,30) To find: Number of permutations using four…

Q: How many permutations are there of the letters in the word 'PLANTS', if all the letters are used…

A: 6) The word 'PLANTS' contains 6 letters.

Q: How many different signals can be made using AT LEAST 4 distinct flags if there are 7 different…

A: Solution:  Different signals can be made using; AT LEAST 4 distinct flags if there are 7 different…

Q: 2. even numbers are in their natural positions. Determine the number of permutations of {1, 2, 3, 4,…

A: Here we use combination rules. And set theoretic rules.

Q: show that number of 132- avoiding permutations are equal to number of 123-avoiding permutations

A: We have to show that number of 132- avoiding permutations are equal to number of 123-avoiding…

Q: How many 4-permutations are there of a set of six objects?

A:

Q: Find the number of distinguishable permutations of: 6 Es, 4 Is, and 5 Ls

A: Number of ways to arrange n elements in n places where a elements are identical, b elements are…

Q: A shipment of 40 computers are unloaded from the van and tested 6 of them are defective In how many…

A: We will find out the required number of ways.

Q: How many permutations of [n] are possible in which no even numbers and no odd numbers are adjacent?

A: Solution :-

Q: How many 4-letter strings of upper- and/or lowercase letters are there that contain at least two…

A: To determine the number of 4-letter strings of upper and /or  lowercase letters are there that…

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: Find the number of permutations using 4 different letters a, b, c, and d, if they are taken 2 at a…

A:

Q: Find the number of distinguishable permutations of: 6 Ds, 5 Js, and 2 Os

A: our objective is to find the no. of permutations

Q: How many distinct permutations can be formed using the letters of the word ​"BELIEVABLE​"?

A: How many distinct permutations can be formed using the letters of the word ​"BELIEVABLE​"?

Q: A class has 11 students. What is the probality that exactly 4 of the students were born on a weekday…

A: We have to find given probability.

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: Find the number of distinguishable permutations of the word "VANQUISH".

A: Given word is "VANQUISH"    Total no. of letters=8    and no letter is repeated.

Q: 6. In how many ways can 3 men be selected from 10 men if one of them ! included in every selection?…

A: 6) Given, Total available men = 10 We need to select 3 men out of 10 men

Q: How many 6-permutations of [15] have their digits in increasing order?

A: Permutation is a technique to obtain the possible arrangements of listed items in a linear order.…

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

A:

Q: How many permutations are there of all the letters in the word COMBINE?

A: It is as simple as evaluating n!, where n is the amount of letters. There are 7 letter word.

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

A:

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

A:

Q: Find the number of distinguishable permutations of: 5 As, 3 Gs, and 4 Ns

A: The answer is, 27720   The detailed solution is as follows below:

Q: Number of circular permutations of different .!things taken all at a time is (n-1)

A:

Q: A license plate begins with three letters. If the possible letters are A, B, C, D and E, how many…

A: Permutation is used to find the possible arrangements in an experiment where the order of…

Q: How many permutations doesaa combination lock have if each combination has 3 numbers, no two numbers…

A: Permutation and combination : Permutation and combination are two distinct methods of representing a…

Q: 1. A registration code begins with three numbers. If the possible numbers are 1, 2, 7, 9 and 0, how…

A: We have find on of more..

Q: Write down all even permutations of {1,2,3,4} which take the element 1 to 2.

A: To write all even permutation of A={1, 2, 3, 4} that takes 1 to 2.

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: 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: A four-of-a-kind hand is a selection of five cards from a standard 52 card deck consisting of four…

A: A four of a kind hand is a selection of five card from a standard 52 card deck consisting of four…

Q: How many permutations of {1, 2, 3, 4, 5, 6, 7, 8) leave exactly 1 element fixed?

A: