a. How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit can be used only once? b. How many of these are odd numbers? c. How many are greater than 330?

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: If repetition of digits is not​ allowed, how many four​-digit numbers can be formed using the…

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Q: In how many ways can you arrange 4 different Mathematics books, 3 of different Science books, and 2…

A: in how many ways can you arrange 4 different mathematics books, 3 of different science book,and 2…

Q: 1. How many people carried a cell phone or a tablet? 2. How many people carried neither a cell phone…

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Q: You are tasked to arrange five different Mathematics books, four different Science books and three…

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Q: 3. How many 3-digit numbers are there that are divisible either by 5, 7 or 9?

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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: In how many ways can you seat 12 people at two round tables with 6 places each? Think of possible…

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Q: 2.36 (a) How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each…

A: Given : Available digits are 0,1,2,3,4,5 and 6 Total of 7 digits are available Each digit can be…

Q: 10. How many numbers greater than 500 can be formed from the digits 2, 3, 5, 8, and 9 using each…

A: Given Data : The given numbers are : 2,3,5,8 & 9 To Find : Total numbers greater than 500 formed…

Q: (1) 2. Determine the total number of different outfits you can create from your closet if you have…

A: This is a problem related to permutation and combination. Based on the general formula and concept…

Q: 24.The vehicle registration plates in a European country consists of 3 letters followed by 3 digits.…

A: number of consonant=21 (no vowels) number of digit=10 i.e 0,1,2,3,4,5,6,7,8,9 we want to find  how…

Q: Khristelle was able to calculate the total number of 3-digit numbers that can be formed from a given…

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Q: Three-digit numbers are formed from the digits 0,1,6,7,8 and 9 if no repitition is allowed a. how…

A: given digits  0 1 6 7 8 and 9  i.e., a total of 6 digits are given and repetition of digits is not…

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

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Q: (a) How many 2 letter codes can be formed using A, B, C, and D if each letter can be used any number…

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Q: a) How many four-letter words may exist in this language? b) How many four-letter words can be…

A: “Profanities” in a rudimentary language whose alphabet consists of the five letters A, B, C, D, and…

Q: 3.54. How many even five-digit numbers, in which all digits are different, can be formed from the…

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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: In how many ways can 5 man draw water from 5 taps if no tap can be used more than once? * O 720 О…

A: Introduction: There are 5 men, who draw water from 5 available taps.

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: Consider five-digit numbers  = a1 a2 a3 a4 a5, with each digit from the set {1, 2, 3, 4}. a. How…

A: Solution is given as below:

Q: How many three-digit numbers can be formed under the following condition? The number is at least…

A: We have to find three - digit numbers that can be formed under condition  The number is at least 400…

Q: How many ways can the letters of the word BOULEVARD be arranged in       order? b)How many ways can…

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

A: To find- Ways by which 11 digit number be made.

Q: 1 (a) (i) How many 8-digit numbers can be formed with the digits 3,5 and 7? (ii) what fraction of…

A: Combination formula: The combination formula is used to determine the number of ways to pick items…

Q: In how many different ways can five friends sit for a photograph of five chairs in a row? * O 120 O…

A: To find the number of ways in which five friends can sit for a photograph in five chairs in a row.

Q: a) In how many different ways can the letters of the word "CORPORATION" be arranged so that the…

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

Q: How many six-digit numbers can be formed with the numbers 0, 0, 1, 1, 2 and 2? (Note that a…

A: Given, Numbers - 0,0,1,1,2,2

Q: 2) a) How many 3-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5 & 6 if each digit can…

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Q: How many different 10-letter codes can be made using three a’s, four b’s, and three  c’s?

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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: How many 3-digit numbers can be formed fro allowed? O 6 O 12 O 21 O 27 In how many ways can Naomi,…

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Q: (a) In a certain state, each automobile license plate number consists of two letters followed by a…

A: Note:- these are multiple subparts question and according to our company guideline we can do maximum…

Q: In how many different ways can the letters of MISSISSIPPI be arranged?

A: Given :  MISSISSIPPI Number of times I repeated (n1)= 4 . Number of times M repeated (n2)= 1 Number…

Q: In how many ways Jane, Liza, Karen, Lea, Jamie, Andrea, Nicole, and Jazz can be seated in a round…

A: There are 8 persons  So total number of ways by which they can sit =8!  8!=8×7×6×5×4×3×2×1 =40320.

Q: 3. Given that the digit 7,8,9,10, and 11. How many four digits numbers: (a) i. greater than 9000 can…

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Q: 1.There are six people, and each persons shakes hands with each other. How many handshakes?

A: Combination: It is a mathematical technique that is used to find the number of possible…

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: How many 8-digit numbers can be formed with the digits 3, 5, and 7? (b) What fraction of the…

A: a)The objective is to find how many 8-digit number is formed with the digits 3,5,and 7 the number of…

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: (1) What number divided by 6 leaves a remainder of 5, divided by 5 leaves a remainder of 4, divided…

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Q: In how many ways can the letters in the word TWEEDLEDEE be arranged? O 362,880 O 15,120 O 30,240 O…

A: Word Given : TWEEDLEDEE There are  1 T 1 W 5 E 2 D 1 L

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

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: a) In how many different ways can the letters of the word "CORPORATION" be arranged so that the…

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Q: How many ways to arrange a 4-digit number, provided that the said number must be even and there are…

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Q: 1. How many ways can five unread books be arranged on a bookshelf? Show all work and reasoning…

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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.