How many permutations of letters MNPQRSTUV will contain substrings PQ and QTS in it?

Q: How many distinguishable permutation in the word VANQUISH?

A: Since all 8 letters in VANQUISH are distinct.There are 8 choices for the first letter. Once a first…

Q: How many 4-letter “words” without repeated letters are possible using the English alphabet? (Assume…

A: Given that repetitions are not allowed. The first letter can be selected in 26 ways.  The second…

Q: Find the number of distinct arrangements of the 10 letters in WOODWORKER. Two of the same letter are…

A: Given 10 letter word is WOODWORKER

Q: A nine character password has been randomly assigned by using capital and lower case letters. In how…

A: Given : A nine character password has been randomly assigned by using capital and lower case letters

Q: Find the number of the permutation of 8 different things taken 3 at a time

A:

Q: How many distinct “words” can be made by rearranging the letters in “PERMUTATION?”

A: In the word PERMUTATION there are:P=1E=1R=1M=1A=1T=2I=1O=1N=1So, only T repeated twice.

Q: 5. How many distinct permutations can be made from the word ENGINEERING if these permutations start…

A: Given word is" ENGINEERING"letter 'E' is repeated 3 timesletter 'I' is repeated 2 timesletter 'N' is…

Q: Find the number of distinguishable permutations of the letters in the word bookkeeper.

A: To find the number of distinguishable permutations of the letters in the word bookkeeper. Solution:…

Q: How many permutations of the letters OPQRSTU contain the strings QPO and PRS?

A: Solution

Q: How many four letter words beginning and ending with a vowel without any letter repeated can be…

A:

Q: How many 10-bit strings begin with "101" or "00"?

A:

Q: Find the number of permutations of the letters of these words:

A: Here permutations of word committee

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: how many three-letter permutations can be formed from the letters in the word pirate? Show your…

A: To find how many three-letter permutations can be formed from the letters in the word pirate.

Q: How many 4-permutations of the multiset {A®, B®,C5,D²} exist?

A: claim- how many 4-permutation of the multiset A∞ , B∞ , C5 , D2exist ? as we know  number of r…

Q: find the number of permutation and combination of 4 letters taken from the word ARYABHATTA

A:

Q: Find the number of distinguishable permutations of the word COMBINATION

A: COMBINATION

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 different "words" can be formed by rearranging the letters in the word CIVILIZING?

A:

Q: On February 20, 2004, the Ohio Bureau of Motor Vehiclesunveiled the state’s new license plate…

A: The license  plate contains 3 letters from A to Z followed by 4 digits from 0 to 9. Now all the…

Q: Suppose each license plate in a certain state has three digits followed by three letters. The digits…

A: There are 8 digits and 26 letters to use and there are 3 slots for digits. Also given that digits…

Q: How many integers greater than 120 but less than 540 are divisible by 5?

A: Given Problem:- How many integers greater than 120 but less than 540 are divisible by 5?

Q: Of 13 students in a class, 4 will be chosen to go on a field trip. How many different ways can they…

A:

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 ways in which 9 different computer games can be shared out between Wainah, Jingyi…

A: Here there are 9 different computer games that can be shared between Wainah (W), Jingyi (J) and Hebe…

Q: How many three digit numbers can be formed from the digits 0,1,2,3,4,5,6,7,8 and 9 such that the…

A: Given numbers are, 0,1,2,3,4,5,6,7,8 and 9 Total numbers are 10 We have to calculate the number of…

Q: Find the number of distinguishable permutations of the digits of the number 228,434.

A: Write the number in frequency format: Numbers Frequency fi 2 2 8 1 4 2 3 1 Total…

Q: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7, and 9 which are divisible by 7…

A: Given:   Digits: 2 , 3 , 5 , 6 , 7 and 9 3-digit code  which divisible by 7 with no repetition of…

Q: How many words can be formed by permutation of the letters of the word DEPRESSION such that each…

A: Given word DEPRESSION We have to calculate No. Of words such that obtained word does not contain 2…

Q: How many three-letter "words" can be made from 6 letters "FGHIJK" if repetition of letters (a) is…

A: Given 6 letters is "FGHIJK"

Q: How many 4-letter "words" can be made from 10 letters AGIMNORTUY if repetition of letters (1) is…

A: In letters of word 'AGIMNORTUY' all letters are unique  Therefore 4 -letter of word can be made if…

Q: A 4-digit number is selected from the numbers (1,2,3,4,5,6} where the digits are selected withou…

A: As per given by the question, there are given the numbers {1,2,3,4,5,6} and from these number select…

Q: Find the number of different ways to rearrange letters in the word PERMUTATION such that all the…

A: Here PERMUTATION word contains total 11 letter Of which A,E,I,O,U are vowels(5 vowels in given word)…

Q: Suppose each license plate in a certaln state has two digits, followed by two letters, followed by…

A: The license plate consists of two digits, followed by two letters, followed again by two digits.…

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: How many 12-bit strings start with 101 or end with 10 or both?

A: Here the 12-vit string is the string of length 12. And to find the number of specific types of…

Q: How many four digit codes can be made out of the digits 0,2,4and 8 if the repetition of digits is…

A: We have to find four digit codes can be made out of the digits 0,2,4and 8 ....

Q: How many different words can be formed with the letters of the word ‘SUPER’ such that the vowels…

A:

Q: A 4-digit number is selected from the numbers †,2,3,4,5,6} where the digits are selected withou…

A: Available Digits : 2,3,4,5,6   a) 4 digits numbers  : For first digit 5 options available, for…

Q: Find the number of distinguishable permutations of the letters in ASSOCIATIVE.

A:

Q: How many 9-bit strings start with 101 or end with 10 or both?

A: How many 9-bit strings start with 101 or end with 10 or both. There are 9-bits, and we start with…

Q: How many words can be formed by permutation of the letters of the word DEPRESSION such that each…

A:

Q: How many permutations can be made from the word CONVOCATION, such that all vowels must come…

A: The number of ways n items can be arranged, out of which, p items are of one kind and q items are of…

Q: 2) Find the number of distinguishable permutations of the digits of the number 911 912 271. 3) In…

A:

Q: How many ways are there to rearrange the letters in the word "TAKUT" so that the two Ts are not next…

A:

Q: Find the total number of permutations of the word 'ASSASSINATION', where all vowels are ALWAYS…

A: We have to find the number of ways

Q: Suppose that 10 countries submit bids for the summer Olympics. The Olympic committee will select 4…

A: Given ,  Total no. of countries = 10

Q: How many words, with or without meaning, each of 3 vowels and 3 consonants can be formed from the…

A:

Q: In how many ways can you take 3 letters from the alphabet (lower-case only) such that any character…

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION PLZ REPOST FOR REMAINING PARTS