Assume that we have numbers from 0 to 9 in a small box (0,1,2,3,4,5,6,7,8,9); there is only one from each number. How many 5 digit numbers can we generate respecting the following rules: • The generated number cannot start with zero • The generated number has to be an odd number

Q: How many different numbers can be formed by various arrangements of the six digits 1, 1, 1, 1, 2, 3

A: Please refer to the solution in next step.

Q: how many four digit numbers can be formed if all the digits are odd numbers and each digit can be…

A: Using the 10 digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9, here 4 digit numbers are formed in which all…

Q: The seven given numbers are: 5, 6, 3, 4, 1, 2, and 7. A. How many five-digit numbers can be formed…

A: Given seven numbers are5,6,3,4,1,2,7

Q: How many three numbers with no repeated digits, can be formed by the use of the digits 0, 2, 3, 4,…

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Q: How many 6-character license plates are possible if the first character must be a letter that is not…

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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: How many words can be generated us

A: How many words can be generated using the letters of MARRIAGE.

Q: if these five numbers form a pattern such that the differernce between each pair of numbers is the…

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Q: How many 4 digit numbers can be formed using only the digits 1, 2, 3, 4, 5,  6?

A: From the provided information, The digits are 1, 2, 3, 4, 5, 6 that is number of elements (n) = 6

Q: How many six-digit license plates can be made if no plate begins with 0 or 6

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Q: How many five-digit numbers can be formed from the digits 1, 2, 4,6,8,9& 0 if digit is repeated?

A: To make a 5 digit number 0 can not come at first. So for the first position there are 6 choices. And…

Q: I just need to know why they are all classified that way. An explanation why each number is…

A: We classified the given numbers. Note : As per our Guidelines , we can solve first three subparts .…

Q: Use any method, list all the three digit numbers from the set {3,4,5,6} where there are no repeating…

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Q: how many odd 3-digit numbers can be formed from 0, 1, 2, 3 and 4?

A: The digits used to make the odd number are 0, 1, 2, 3, 4.

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

A:

Q: A license plate in a certain county consists of 4 letters followed by 3 single digits.  How many…

A: Permutation is deals with arrangements. It is used to calculate the number of ways a certain number…

Q: ay be formed using the digits 2, 3, 4, 6 and 9 if repetitions

A: 22,23,24,26,29,32,33,34,36,39,42,43,44,46,49,62,63,64,66,69,92,93,94,96,99. In unit digit place we…

Q: A four-digit number is to be formed from the digits 0, 1, 2, 3, 5, 7, 8, and 9. How many four-digit…

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Q: How many 7 digit numbers can be formed using the numbers 0-9 if the first and 5th digit can only be…

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

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Q: How many ways can you write a 5 digit number such that some of the digits repeat? (Note: 010 is a 2…

A: Given query is to find the ways to write 5 digit number.

Q: how many differecnt 4 letters words can be formed using the letters {b.a.s.e} if each word must…

A: Letters are b,a,s,e. Since this is the 4 letter words. Here, the word format does not have to be an…

Q: A letter that represents a variety of different numbers is called a/an

A: Fill in the blank.

Q: how many five letter codes can be made if each chosen letter (from the the original 7 letters) can…

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Q: How many different seven-digit telephone numbers can be formed if the first digit cannot be zero?

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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 numbers between 1 and 1000 are divisible by 12 or 15, or both 12 and 15?

A: We need to find how many numbers between 1 and 1000 are divisible by 12 or 15, or both 12 and 15. To…

Q: how many 7 digit phone numbers can be formed in an area code, if the symbols 0 and 1 can not be used…

A: We consider that each digit is selected independently of the others. The first digit can be any of…

Q: A 7 digit phone number consists of numbers 0 - 9. How many different combinations can be made if the…

A: Given ,number digits from 0 to 9=10

Q: How many three-digit number with no repeat can we make using digits from {1,2,3,4,5}

A: three-digit number with no repeat can we make using digits from {1,2,3,4,5} here we have 5 choices…

Q: The English alphabet contains 21 consonants and 5vowels. How many word of length 4 can you write all…

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Q: How many different 3-digit numbers are possible using only the digits 2,3,5,6 ?

A:

Q: d 3?

A: for a 4 digit even number