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: In the 31st SEA Games volleyball match, how many ways can a coach choose 6 starters from a…

A: From given information, n is 15 and r is 6.

Q: |In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 9…

A: Combination is the arrangement of data without any order. It can arrange data from the sample from…

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

A:

Q: How many different methods are there to put 6 items in 4 boxes such that none of the boxes are left…

A: ways to distribute the 6 items among the 4 boxes without any restrictions. This is equivalent to…

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: 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: 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: 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: If 3 -letter words" are formed using the letters A, B, C, D, E, F, G, how many such %3D words are…

A:

Q: In how many ways can you arrange 5 distinct maths books, 4 distinct computing books and 3 distinct…

A: Given  5 distinct maths book, 4 distinct computing books and 3 distinct physics book

Q: In how many ways can a group of 3 boys and 2 girls be made out of a total of 6 boys and 5 girls? (a)…

A: Solution: BOYS: Possible combinations of 3 boys from 6 boys ; =C36 =6!3!x6!-3!=6!3!3!…

Q: Three cards are chosen without replacement from a deck of 52 cards and placed in order from first to…

A: In the deck of 52 cards, there are total 4 6's. (One for each of hearts, diamonds, spades and clubs)…

Q: There are 15 members in a club: (a) How many ways are there to choose 10 members to form a…

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Q: same

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Q: green A store sells rubber balls in 4 different colors: red, yellow, blue, and If the store has a…

A:

Q: In how many different way can a person choose 2 desserts from a menu of 12

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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 strings can be made from the letters in ATTRACTION, using all the letters, if all…

A: The given word is ATTRACTION

Q: In how many ways 4 fruits (of any type) can be picked up from a basket of fruits containing 3 types:…

A: Given Information Basket contains 3 types of Fruits: Apples, Oranges and Pears 4 fruits is to be…

Q: How many distinguishable permutations are there in the word PASS?

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Q: (a) In a certain country, the car number plate is formed by 4 digits from the digits 1, 2, 3, 4, 5,…

A: (a) The car number is formed by 4 digits from the digits 1,2,3,4,5,6,7,8 and 9 followed by 3 letters…

Q: Each telephone number in a city consists of 7 digits, the first of which must be 3 or 4. (a) How…

A: HERE TELEPHONE Diary consists of 7 digits, first is either 3 or 4.

Q: How many different strings of size 2 can be made using all the letters in the word GOOGOL?

A: Given word = GOOGOL. Number of different letters present in the given word = G,O,L  According to the…

Q: How many different ways are there for all 15 cats to be adopted? (permutations)

A: The number of different ways of arranging n objects is n!.

Q: 5 balls are to be placed in 3 boxes. Each box can hold all the 5 balls. In how many ways the balls…

A: Solution :-

Q: how many different ways can first-place, second-place, and third-place be decided in a 25-person…

A: In how many different ways can first-place, second-place, and third-place be decided in a 25-person…

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: 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: 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: Suppose a class has 20 students and there are 11 males and 9 females. How many ways can a committee…

A: Given Total students = 20 males = 11 females = 9

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…