Find the number of distinct arrangements of the 9 letters in BEGINNING. Two of the same letter are considered identical (not distinct).

Q: Find the number of distinguishable arrangements of the letters of the word. QUADRILLION

A: There are 11 letters in the word QUADRILLION in which 2 letters ( I and L) occurring twice each. So,…

Q: How many numbers in the set {1, 2, 3, ..., 346} are divisible by 5 or 7 ?

A: In the given problem we have to find how many numbers in the set 1, 2, 3, . . ., 346 are divisible…

Q: A person going to a party was asked to bring 5 different varieties. How many different selections…

A: this is a combination related question  so the formula for combination of different selection is…

Q: Find the number of different ways that an instructor can choose 6 students from a class of 12…

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Q: Find the number of ways to put eight different books in five boxes, if no box is allowed to be…

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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: In how many ways can 6 differently shaped blocks be taken to arrange in a cabinet with 4 empty…

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Q: How many different 4 letter radio station call letters can be formed if the first letter must be W…

A: It is given that, there are for letters and first letter must be W or K.Thus, there are 2…

Q: Find the number of way to arrange the letters in the word ESTRENGENT. if identical letters must be…

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Q: Algbra a contractor builds homes of 6 different models and presently has 3 lots to build on. In how…

A: We have given, a contractor can build 6 different models homes and he has 3 lots only. Therefore, 6…

Q: in how many different ways can 7 potted plants be arrangesd in row

A: We can arrange n things in n! ways in a row.

Q: A sales assistant is hanging 12 sweaters on a rack. He has 3 gray sweaters, 4 brown sweaters, and 5…

A: 3 - grey 4 - brown 5 - black  ... 12 total

Q: Six people are about to enter a cave in a single row. In how many ways could the arrange themselves…

A: Given: Six people are about to enter a cave in a single row

Q: How many arrangements of the word AWESOME do not have the string ME?

A: In the field of combinatorics, whenever we study the arrangement of objects (like in the problem we…

Q: Find the number of permutations of 9995

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Q: There are 12 people in a dinner gathering. In how many ways can they arrange themselves around a…

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Q: How many distinct arrangements of the letters in the ( fictitious) word FOOTBALLLERS are possible?

A: Given information- We have given the word FOOTBALLLERS, we have to find the no. of arrangements of…

Q: The number of arrangements of the letters of the word WASHINGTON, if the ASH must be together in any…

A: In this question we have to find Arrangement of word WASHINGTON and ASH always comes together.

Q: How many different arrangements can be made using all the letters in VANCOUVER?

A: There are total 9 letters in the word VANCOUVER. Letter Frequency V 2 A 1 N 1 C 1 O 1…

Q: Assume that you have 7 dimes and 5 quarters (all distinct), and you select 4 coins. In how many ways…

A: To count the number of selections  under given conditions

Q: How many ways to arrange 5 books on the shelf exist if two definite books are not placed together.

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Q: What is the number of distinct arrangements of all the letters in the word CELLPHONE

A: Useful formula: n!=n*(n-1)*(n-2)*(n-3)*..........*3*2*1

Q: Find the number of different ways that an instructor can choose 4 students from a class of 31

A: There are 31 students in a class room, out of 31 students 4 students can be chosen in 31C4 ways

Q: Find the number of distinct arrangements of the 8 letters in GIGGLING. Two of the same letter are…

A: The number of distinct arrangements is obtained below:   From the given information, the given word…

Q: Determine the number of combinations that can be formed with 11 objects taken 7 at a time

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Q: Find the number of different ways that a family of 9 can be seated around a circular table with 9…

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Q: Find the number of words of length n using the alphabet {a, b, c, d, e} in which the total number of…

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Q: How many multiples of 6 are in the set {171, 172, 173, ..., 286}?

A: Given set is 171,172,173,174,.......,286. We have to find the number of multiple of 6 in the given…

Q: There are 10 people in a meeting. In how many ways can you arrange your participants around a ROUND…

A: Total ways in which 10 people be arranged around a round table so that 4 people sit beside each…

Q: Find the number of different ways that a family of 6 can be seated around a circular table with 6…

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Q: How many ways to arrange 7 books on the shelf exist if two definite books are not placed together?

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Q: How many distinct ways are there to arrange 3 clear marbles, 4 yellow marbles, and 2 orange marbles…

A: Given problem:- How many distinct ways are there to arrange 3 clear marbles, 4 yellow marbles, and 2…

Q: How many different arrangements can be made using all the letters in CALGARY, if the first letter…

A: CALGARY If the first letter must be G.  Then, Starting with G, need to arrange the remaining 6…

Q: Find the number of ways to arrange three tennis player in a bench.

A: To find: The number of ways to arrange 3 tennis player on the bench. Concept used: The number of…

Q: A sailboat owner received 5 different signal flags with his new sailboat. If the order in which the…

A: Given A sailboat owner received 5 different signal flags with his new sailboat.

Q: Find the number of different ways that an instructor can choose 5 students from a class of 13…

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

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Q: How many different sets of 5 cards can be formed from a standard deck of 52 cards?

A: We need to find the number of different 5 card sets that can be formed from a deck of 52 cards. Now,…

Q: In a 26 letter alphabet, how many 5 letters ‘word’ are there made up of different letters?

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Q: A box of colored crayons contains 15 distinct colors. In how many ways can 4 colors be chosen,…

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Q: Find the largest eight-digit number made up of the digits 1, 1, 2, 2, 3, 3, 4, and 4 such that the…

A: Given digits are 1,2, 3, 4.Given conditions is 1s are seperated by one digit,2s are seperated by two…

Q: you have 11 tubs of paint how many distinct color groupings can you make with your paint?

A: Total given colors are   11 Total distinct colors grouping   ?   we can solve this question with the…

Q: How many different words can be formed with the letters of the word BANANA ?

A: We have given that  the letters of the word BANANA , How many ways

Q: A sales assistant is hanging 13 sweaters on a rack. He has 3 brown sweaters, 4 purple sweaters, and…

A: Number of sweater in rack = 13 Number of brown sweater = 3 Number of purple = 4 and number of pink…

Q: Given 9 digits,   1,23,4,5,6,7,8,9, how many 3-digit numbers could be formed without repetition of…

A: Given ,total no.of digits=9 (1 to 9)

Q: A sales assistant is hanging 11 sweaters on a rack. He has 5 black sweaters, 4 green sweaters, and 2…

A: Given dataTotal sweaters = 11Black sweaters = 5Green Sweaters = 4White sweaters = 2Total…

Q: After selecting nine players for a baseball game, the manager of the team arranges the batting order…

A: Given, After selecting nine players for a baseball game, the manager of the team arranges the…

Q: if 8 different colored beads are made into a necklace, how many necklaces can be produced having…

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