Consider Set A = {a,b,c,d,,x,y,z) of the 26 letters of the alphabet. Determine the total number of sequences with 5 letters that can form so that the first letter and the last letter are vowels other letters are all different consonants.

Q: Let A=\ June, Janet, JillJeffrey, Jello) and B=\ Janet, Jello, Justin). Find n(A cup B)

A: The elements of the set (A U B) are the elements which either in A or in B or in both.

Q: How many strings of length two can be formed by using the letters A, B, C, D E and F without…

A: Given letters, A, B, C, D, E, F We have to find number of strings of length two

Q: how many length twenty strings of a's, b's, and c's have ten a's, six b's, and four c's

A: 20!10!×6!×4! in which 20 is used for total string length.  10 for a's and   6 for b's , 4 for c's

Q: How many ordered sequences are possible that contain four objects chosen from thirteen?

A: According to the given information in this question We need to find the value P( 13,4)

Q: Supposed repetitions are not allowed. Find the number n of three-digit even numbers that can be…

A:

Q: the character

A: There are total 4 characters A,B,C,D and D is used exactly twice. Therefore , the combination for D…

Q: how many sequences of 2n letters can be formed using n distinct symbols if each symbol is used…

A:

Q: Use any method, list all the three digit numbers from the set {3,4,5,6} where there are no repeating…

A:

Q: How many unordered sets are there of six items chosen from eight? ?sets

A: The different groups that can be formed by choosing r  things from a given set of n different thing…

Q: How many numbers must be selected from the set {2,4,6,8,10,12,14,16,18,20} to guarantee that at…

A: Use the principle of inclusion and exclusion to solve this problem, as in next step.

Q: set N = {9, 43, 66}?

A: Given that  Set N = {9, 43, 66}   We know that  The subsets possible are null set , subset of size…

Q: suppose repetitions are not allowed. Find the number n of three-digit even nimbers that can be…

A: Given problem Given that   Suppose repetitions are not allowed. Given six digits : 2,3,5,6,7,9…

Q: How many 15 letter strings containing only a's, b's, and c's have 6 a's and 4 b's?

A: Given: 15 letter strings containing only a's, b's and c's

Q: Show that if seven integers are selected from {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, there must be…

A:

Q: A bank of 9 movies is chosen from for a movie marathon in which 3 movies will be played in a…

A: Given that,  There are 9 movies in the bank. According to the given condition, 3 movies are played…

Q: How many strings of length 5 can be formed if the alphabet (set of available characters)is {a,b,c}…

A: The given alphabets are {a, b, c}. So, the number of characters is 3. The length of the string is 5.

Q: How many subsets are there of the set N = {5, 42}?

A: We ahave to find no. Of subsets.

Q: How many 5- digit numbers can be formed using the digits 0,1,2,3,4,5,6,7,8,9, if repetitions of…

A: Givendigits = 0,1,2,3,4,5,6,7,8,9No.of digits =10

Q: 14 different letters of alphabet are given, words with 6 letters are formed from these given…

A: There are 14 different letters. We will make words with 6 letters.  So there are 146=7529536 ways to…

Q: A license plate consists of   five symbols on each​ plate, where the first two symbols are letters…

A: Fundamental principle of counting : If an event occur in m ways an corresponding to it another event…

Q: Suppose I choose two numbers from the set {1, 2, 3,… 100}. How many have an even sum? Show all work.

A: Introduction: There are total 100 numbers between 1 and 100. Out of these, 50 numbers are odd: 1, 3,…

Q: A product code consists of a string of 4 different letters selected from the set {S,T,U,V,W,X}. How…

A: The number of ways to arrange r objects selected from n distinct objects is given by the permutation…

Q: How many ordered sequences are possible that contain eight objects chosen from eleven?

A: Given that, Total objects = 11 Order matters

Q: How many subsets are there of the set N = {6, 49}?

A:

Q: How many unordered sets are there of two items chosen from four? ?sets

A: We have to find number of unordered sets of two items chosen from four items.