In how many distinct ways can a 11​-digit number be made using five 6​'s and six 5​'s?

Q: How many ways can we arrange eleven bowling balls numbered 1 to 11 in a circle if the even- numbered…

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Q: 1. How many five-digit numbers can be formed from the digits 3, 4,5,6 and 7? a. no repetition of…

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Q: How many different 5-letter words can be made a. if the first letter must be C, Z, T, or L and no…

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Q: (a) How many three-digit nos. can be formed from the digits 0.1.2.3.4.5 & 6 if each digit can be…

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Q: In how maAny ways can Five s budents be Seabed in arow thab has 10 chairs

A: Given, n = 10 X =5 This  is the case f permuatation.       To  find, In how many ways can 5 students…

Q: In how many ways can the letters in the word "school" be arranged?

A: It is permutations problem

Q: In how many ways the letters in the word "school" be arranged?

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Q: In how many distinct ways can the letters of the word BELLE be arranged? ways

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Q: In how many ways can 7 graduate students be assigned to 1 triple and 2 double hotel rooms during a…

A: We can interpret this question as how to split seven students into groups of 3, 2 and 2.

Q: How many different 7-letter words can be made a. if the first letter must be G, X, P, or L and no…

A: Concept: Since, in every case first letter shoud be G, X, P, or L.  Hence, total number of ways for…

Q: Given the numbers 0, 1, 3, 5, 7, 8 and 9 and if repetition is allowed; a. How many 4-digit numbers…

A: 2.a.  There are 4 spaces in a 4-digit number. _ _ _ _ These 4 spaces needed to be fill using the…

Q: ) How many 5 letter code words can be made with the first 7 letters in the alphabet (i) if no letter…

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Q: In how many ways can we arrange seven letters of the word SWITZERLAND that starts with letter S and…

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Q: b. In how many different ways can the letters of the word “Corona" be arranged such that the vowels…

A: b. The given word is “Corona”.

Q: From the digits 1,2,3,4,5,7 and8 a) How many numbers of four different digits each can be formed? b)…

A: Given  The digits 1,2,3,4,5,7and 8  a). How many numbers of four digits each can be formed. b). How…

Q: 5. a. How many 3-digit numbers can be formed from the digits 2, 3, 4, 6, 7 without repetitions? b.…

A: There are five digits 2, 3, 4, 6, 7  we have to find 3-digit numbers that can be formed from the…

Q: nhow many nights may a watch of 4 men be arranged by a security agency om a crew of 16 so that no…

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Q: How many 5-digit numbers can be formed using the digits 0 to 9 if repetitions are allowed?

A: Total number of digits allowed are : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,

Q: In how many ways can we arrange six letters of the word SWITZERLAND that starts with letter S? O…

A: Answer : - In how many ways can we arrange six letters of the word  SWITZERLAND  that starts with…

Q: In how many ways can we of 12, of which a particula included? a. 904

A: Topic:- permutation and combinations

Q: How many different numbers with nonrepeating digits from 4000 to 6000 can be produced using the…

A: The problem can be solved using the concept of permutation and combination.

Q: a. If there are 8 different colors of foot balls are available in a sports shop, in how many wavs…

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Q: In how many ways can a student answer 8 outof 10 questions

A: Let A be a set of n elements. To select r objects from a collection of n elements in set A without…

Q: (a) How many four-digit numbers can be formed from the digit 0, 1, 2, 3, 4,5, 6, 7, 8 ,9 if each…

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Q: 2. If repetitions are not permitted, (i) how many 3-digit numbers can be formed from the six digits…

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Q: In how many ways can we arrange the letters in the word T

A: Given word is "TOOTH". The letters are T, O, O, T, H. The number of letters is 5. And the letter "O"…

Q: 11.7.50 In how many distinct ways can the letters of the word MAMAS be arranged? ways

A: We know the number of permutations of n objects, where n1 of objects are identical ,.......,nr of…

Q: In how many distinct ways can a 18-digit number be made using nine 9's and nine 9's?

A: We have to find the distinct ways a 18-digit number be made using nine 9's and nine 9's.

Q: How many different 7-letter words can be made a. if the first letter must be C, X, or T and no…

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Q: In how many ways can the alphabet in the word "ILOVESTATISTICS" be arranged if the letter S must be…

A: Given word is  "ILOVESTATISTICS"Total no.of letters in the given word =15Letter "S" must be seated…

Q: How many different number plates for cars can be made if each number plate contains four of the…

A: GivenEach number plate contains four digitsNo.of numbers from 0-8 = 8No.of letters from A-J = 10

Q: In how many ways can a class of 14 students be assigned 3 A's, 2 B's, 2 C's, 3 D's and 4 F's? ways

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Q: In how many ways can the digits in the number 8,633,333 be​ arranged?

A: Given  Number 8,633,333.

Q: a. In how many different ways can the letters of the word computer be arranged if the letters co…

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Q: In how many ways can the letters in the word ARGOS be arranged?

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Q: In how many ways can the digits in the number 7,848,488 be​ arranged?

A: The number is a seven digit number, so we're dealing with seven digits.  If we were working with the…

Q: In how many ways can 7 different compact discs be arranged on a shelf?  ___ ways

A: This question is related to permutations and combinations, we will solve it using given information.…

Q: in how  many  ways can 5 men and 3 girrls  can be seated  in a round table such that  the   girls…

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Q: How many different 6-letter words can be made a. if the first letter must be E or W and no letter…

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Q: In how many distinct ways can the letters of the word TOOTH be arranged? ways

A: need to find How many distinct words can be formed by using all letters of the word TOOTH.

Q: How many 5-digit numbers can be formed using the digits 0 to 9 if:                   a.…

A: (a) Repetitions are allowed: There are 10 digits in total: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. The number…

Q: (a) How many even numbers less than 500 can be formed using the digits 1, 2, 3, 4 and 5? Each digit…

A: The even numbers formed using those digits can have 1 digit or 2 digit or 3 digits. 1 digit even…

Q: 2) How many numbers are there between 6000 and 7000 which have exactly one of their digits as 7?

A: Since, we have to find numbers between 6000 and 7000 so the thousand's place must be occupied by 6.…

Q: In how many distinct ways can the letters of the word DALLAS be arranged? ways (Type a whole…

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Q: In how many distinct ways can the letters in COMMISERATE be arranged' 9,979,200 8,280,140 1,030,984…

A: The word COMMISERATE contains 11 letters.This has 11 letters of which E occurs 2 times, M occurs 2…

Q: In how many ways can the digits in the number 2,848,484 be​ arranged?

A: The given number is "2848484". We have to find the number of ways in which the given number can be…

Q: in how many different ways can be letters of the word excel be arranged with two E's kept together

A: Given word is "EXCEL"letter 'E' is repeated =2 timesTotal no.of letters=5

Q: In how many ways can first, second, and third prizes be awarded in a contest with 880 contestants?…

A: The number of ways to select r objects out of n distinct objects is estimated using the rule of…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.