Find the total possible number of 5 letter words such that they are alphabetically first in the sequence of words formed by all their permutations, in the following two cases: (a) repetition of letters is not allowed (b) repetition of letters is allowed

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 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: In how many different ways can the letters of the word KNOWLEDGE be arranged in such a way that the…

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Q: An employment agency has 8 temporary workers. (a) In how many ways could 5 of them be assigned to…

A: The agency has 8 workers.  (a) Out of the 8 employees can be selected in 8C5 = 56 different ways.…

Q: In how many ways can a  friend visit his 3  friends  if he must visit all of them in a single day

A: Since, you have asked multiple question, we will solve the first question for you. If you want any…

Q: How many different 3-letter permutations can be formed using the letters in the word "SCARED"…

A: Given  Word is SCARED and we need to determine the no of 3 letter permutations are formed using the…

Q: How many eight-letter "words" (sequences of letters with repetition) are there in which vowels…

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Q: is the permutation (245)(134) odd or even?

A: The objective of this question is to determine whether the given permutation is odd or even. In the…

Q: A box contains 5 identical white marbles and 4 identical black marbles. 4 marbles are taken from the…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: In a certain state license plates are formed by choosing 2 letters followed by 4 digits without…

A: Solution: Let L1 and L2 be the first two letters of a license plate.  For L1 we have 26 options…

Q: Using the extended pigeonhole principle, show that if there are 30 students in a class, then at…

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Q: In how many ways can a subcommittee of eight be chosen from a Senate committee of eight Democrats…

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Q: How many 5 letter words can be formed if no letter is allowed to be used no more than once in a…

A: It is given that 5 letter words can be formed and also a word here is any combo of letters - it does…

Q: There are 52 students interested in taking a class. Unfortunately, there are only 48 spots available…

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Q: A  box contains 8 ten-peso coins and 5 five-peso coins. In how many ways can 3 coins be drawn in…

A: a) The formula for combination is nCr= n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: car park attendant loses the name tags for a set of seven car keys, so hands out the keys randomly…

A: We first count the number of ways to return the keys so that no one receives their own key. There…

Q: Find the number of permutations {1, 2, 3,...,8 } such that:   1) Exactly 4 digits in their usual…

A: Total elements= 8  Number of ways in which we can choose the four elements that will be in place is…

Q: same

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Q: How many different permutations are there of the letters in the word «book» ?  In how many…

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Q: A company received a shipment of 47 laser printers, including 7 that are defective. 2 of these…

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

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Q: How many different strings can be made from the letters in ATTRACTION, using all the letters, if all…

A: The given word is ATTRACTION

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: The UCLA Math Team gives out 3 different awards to graduating students who were active on the team.…

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Q: How many different committees can be formed from 9 teachers and 35 students if the committee…

A: We can pick 2 teachers from 9 teachers in 9C2 = 36 ways. We can pick 4 students from 35 students in…

Q: Suppose a designer has a palette of 15 colors to work with, and wants to design a flag with 3…

A: The designer has a palette of 15 colors and he needs to choose 3 colors. The colors chosen for the…

Q: selecting three (3) coins, but assume that there are 5 dimes, 3 nickels, and 2 quarters. In how…

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Q: An insurance agent has a list of 9 prospects and decides to telephone 5 how many different ways can…

A: THERE ARE TOTAL 9 PROSPECTS AND ON THE 1ST DAY WE NEED TO CALL THE 5 PROSPECTS THEREFORE TOTAL WAYS…

Q: How many possible permutations can be formed from the word “CORONA”

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Q: Find the number of distinguishable permutations of the letters in each word below. (a) greater (b)…

A: Number of distinguishable permutations of the letters :  = N!/(n1!*n2!*n3!..)  N = total n1 =…

Q: How many permutations are there of the letters in the word "PEPPERMINT"?

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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 different ways can a manager and supervisor select from an IT company branch in Manila if…

A: Query- How many different ways can a manager and supervisor select from an IT company branch in…

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: There are 13 people running in a race. How many different ways can people finish first, second, and…

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Q: is the permutation (245)(134) odd or even?

A: A permutation is even if any one of the two following conditions hold:(1): The permutation can be…

Q: There are 5 boys and 4 girls. How many different ways are there to arrange these 9 persons in a row…

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Q: How many distinct arrangements are possible using the letters of the word POSSIBILITY?

A: Important keys :  When given a number of objects and we would to find the possible different…

Q: Find the number of distinguishable permutations of the letters in each word below. (a) initial (b)…

A: In this question, concept of permutation is used. Permutation Permutations are frequently confused…

Q: they are interested in 5 CDs featuring the piano, 4 CDs featuring the trumpet, and 3 CDs featuring…

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Q: How many of these words are there total? Preview How many of these words contain no repeated…

A: to build 9 letter words using only first n=6 letters alphabet (i) Total number of words we have 6…