How many ways are there to list the digits {1,2, 2, 3, 4, 5, 6} so that identical digits are not in consecutive positions?

Q: Without repeating any digits, how many 3-digit numbers can be formed from the 5 digits {1,2,3,4,5}…

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Q: How many symbols of 3 different orders greater than 3 700 can be formed from the set of numbers {…

A: Combination : A combination could be a mathematical technique for scheming the amount of potential…

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

A: From the given data, the digits that are used for the formation of numbers are : 0,1,2,3,4,5 & 6

Q: How many two-digit numbers can be formed from the digits 2, 4 and 6 if a. no digit is repeated in…

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Q: How many 4-digit numbers can be formed from 1, 2, 3, 4, and 5 if no repetition is allowed?

A: Given : Numbers = 1,2,3,4 and 5

Q: Using the digitd 3, 4, 5, 6, 7, 8, and 9, how many 4-digit numbers can be constructed if the number…

A: Solution: From the given information, the digits are 3, 4, 5, 6, 7, 8 and 9. Here, the numbers with…

Q: How many numbers greater than 3000 can be form with the digits 0,2,3,4 a.  if repetition is not…

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Q: How many three digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible…

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Q: How many numbers must be selected from the set {2,4,6,8,10,12,14,16,18,20} to guarantee that at…

A: Use the principle of inclusion and exclusion to solve this problem, as in next step.

Q: How many three digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6 and 7 such that the…

A: To form a 3 digit number, we start we can not place 0 on hundreds position since that will make it a…

Q: How many numbers must be selected from the set {1, 2, 3, 4, 5, 6} to guarantee that at least one…

A: To find  How many numbers must be selected from the set {1, 2, 3, 4, 5, 6} toguarantee that at least…

Q: Assume that you select digits from the set {2,3,5,7} to form a number between 20 and 700. (1) How…

A: The given set of digits is 2,3,5,7 and the range of numbers is 20 to 700. There would be 2 digit…

Q: How many pairs of two distinct integers chosen from the set {1, 2, 3,..., 101} have a sum that is…

A: Since you have posted multiple questions and we can answer one question. So answer provided for the…

Q: How many 4-digit odd numbers can be made from the digits 0; 2; 4; 5; 8; 9 if the number has no…

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Q: How many 3-digit number can be formed from the digits 0,1,2,3  a. if no two digits are to be the…

A: * SOLUTION :-  from the given information the calculation is given below

Q: How many four​-digit numbers may be formed using elements from the set ​{1, 2, 3, 4, 5, 6, 7​} if…

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

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Q: How many 5- digit numbers can be formed using the digits 0,1,2,3,4,5,6,7,8,9, if repetitions of…

A: Givendigits = 0,1,2,3,4,5,6,7,8,9No.of digits =10

Q: Four digit numbers can be formed from the six digits 2, 3, 5, 6, 7, and 0. If repetitions are not…

A: here given , 4 digit number can be formed from the six digits 2,3,5,6,7 and 0 4 digit number can be…

Q: How many 5 digit even numbers can you form using all of the digits 1, 2, 3, 3, 5?

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Q: How many six-digit even numbers greater than 500 000 can be formed using all of the digits 1, 2, 2,…

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Q: How many different 7-digit phone numbers can have the digits 7,3,5,2,7,3 and 2?

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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 three-digit numbers can be formed using the digits 1, 5, 9, 7, 4, 8, and 6…

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Q: . How many numbers of 5 different digits can be made from the digit 1,2,3,...9? 2. How many numbers…

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Q: How many three digit numbers can be formed from the digits 0,1,2,3,4,5,6,7,8 and 9 such that the…

A: Given numbers are, 0,1,2,3,4,5,6,7,8 and 9 Total numbers are 10 We have to calculate the number of…

Q: A number with 4 digits is formed from the digits 0, 3, 6, 7, 9 without repetition. How many numbers…

A: Total numbers = 5 Since the 6 and 7 are placed next to each other consider them as a single number.…

Q: How many ways are there to list the digits 1, 1, 2, 2, 3, 4, 5 so that the digit 3 and 4 are not in…

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Q: = there to construct a string of 4 digits if numbers can be repeated?

A: We have to make a 4-digit number where digits can be repeated. Since the digits of number are not…

Q: 25) How many 3-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if…

A: This question is taken from the permutation and combination since the question is multiple hence we…

Q: How many combinations of three-digit numbers are possible with digits 2,4,6?

A: Given three digits are : 2 , 4  and 6 .  Combination of digits : _ _ _ (three places)  For the first…

Q: How many different 3-digit numbers are possible using only the digits 1,5,6,7,8 ? How many…

A: We have to find no of ways for make 3 and 4 digit numbers  when repetition allow and not allowed

Q: How many four digits numbers can be formed from the digits 1 2 3 4 5 6 7 if repetition is not…

A: We have to make four digit numbers without repetition. Here we have 7 digits (1,2,3,4,5,6,7) and we…

Q: How many different 4-digit numbers can be formed from the numbers 2, 4, 5, and 8 if no digit is…

A: How many different 4-digit numbers can be formed from the numbers 2, 4, 5, and 8 if no digit is…

Q: How many of these numbers are even from the digits 0, 1, 2, 3, 5, 7 & 9 ?

A: Here we have to find  How many of these numbers are even from the digits 0, 1, 2, 3, 5, 7 & 9 ?…

Q: How many four-digit odd numbers less than 6000 can be formed using the digits 2, 4, 6, 7, 8, and 9?

A: Consider the given situation in the problem, we have four groups in which we have to make choice to…

Q: How many even 4 digit numbers can be formed from the digits 1, 7, 2, 4, 6, 9, 3, and 0 if the…

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Q: What is the value of the whole number N, if: N ofof of of 100?

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Q: How many different 3-digit numbers can be formed with the digits 1, 2, 4, 6, and 8? How many of them…

A: When the digits are not repeated: The given digits are 1,2,4,6 and 8 The number of digits is 5. The…

Q: How many different numbers which contain from four digits or fewer can be formed from the digits A,…

A: Digits can be taken with replacement   Given are 5 letters:   A,B,C,D,E AB<4   and C,D,E >=4…

Q: How many 4-digit numbers are there that are divisible by 10 and the sum of whose digits is 10?

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Q: Consider 4 digit numbers with each digit from the set {1, 2, 3, 4, 5, 6, 7, 8, 9} .  How many such…

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Q: How many ten-digit phone numbers can be formed from the digits 0,1,2,3,...,9 if the first digit may…

A: To find: No of ten-digit phone numbers can be formed from the digits 0,1,2,3,...,9 if the first…

Q: How many even three digits numbers can be formed from the digits 3,2,5,6 and 9if each digit can be…

A: We have to make three digit even number which means that last digit should be even number. Here,…

Q: How many ways are there to arrange the 26 letters of the alphabet so that no pair of vowels appear…

A: To find number of ways are there to arrange the 26 letters of the alphabet so that no pair of vowels…

Q: How many two digit numbers can be formed from the digits 1, 3, 7 and 9 when the digits are: (a) not…

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Q: How many even number more than 10 but less than 800 can be formed from the digits 1, 4, 5, 6, 8 and…

A: even number more than 10 but less than 800 can be formed from the digits 1, 4, 5, 6, 8 and 9

Q: In how many ways can you take 3 letters from the alphabet (lower-case only) such that any character…

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION PLZ REPOST FOR REMAINING PARTS