A ternary digit is either 0, 1, or 2. How many sequences of nine ternary digits are possible containing a single 2 and a single 1?

Q: How many arrangements are there of the letters of the word MATHEMATICS in which all the vowels…

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Q: the set {1,3,4,6,7,8,9}, how many odd numbers can we construct between 100-999 if each element can…

A: We have to solve given problem:

Q: How many integers from 1 through 1000 are multiples of 7 or multiples of 4?

A: Let A be the set of integers that are multiples of 7 and B be the set of integers that are multiples…

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: 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 second are there in a year

A: Solution: We know that, number of days in a year = 365 Number of hours in a day = 24 1 hour = 60…

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 different photographs are possible if four children sit in the front row and five adults…

A: The objective of this question is to find out the total number of different photographs possible…

Q: Find the sum of n terms of an AP whose nth term is given by an=5-6n

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Q: A team composed of two grade 11 and two grade 10 students is to be sent to a debate contest. If…

A: The provided information is  There are Two grade 11 and two grade 10 students  There are also 60…

Q: How many multisets can we make using the integers 1 through n, if we require that no number appears…

A: It is given that the integers are from 1 through n, and no number appear more than 3 times.

Q: How many ways can 4 books be arranged on a shelf if the books are selected from a collection of 100…

A: Here we will use the concept of permutation Permutation = nPr = n!/(n-r)!

Q: If a men working 6hours a day can do a work in 88days, then 6men working 8hours a day can do it in…

A: Given that men working 6 hours a day can do work in 88 days

Q: In how many ways can the numbers from 7 to 10 be arranged three at a time if the numbers can repeat?

A: If we have n numbers and we want to arrange k of them where the numbers can repeat, then the total…

Q: How many different two-digit numbers can you form using the digits 3, 8, 7, 4, 1, and 5 without…

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Q: The 5th term of an A.P. is 15 and the first term is 3. What is the sum of the first 10 terms?

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Q: How many 4-diğit humbérš čâh bě fórméd from the digits 1, 3, 5, 6, 8, and 9 if no repetition is allo…

A: Given digits 1, 3, 5, 6, 8 and 9 (Total 6 numbers) We want to find number of 4 digit numbers such…

Q: how many ways can you arrange 23 books on a shelf that can only hold 7 books?

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Q: How many 4-digit numbers are there?   And if repetition of digits is not allowed?

A: Given that n= number from 1 to 9 = 9 r = 4 ( since we have to take 4 digit 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: There are 550 students in your graduating class. Are there at least 3 people that share the same…

A: There are 550 students in your graduating class. We need to determine wheather there are at least 3…

Q: How many integers must you pick in order to be sure that at last two of them have the same remainder…

A: To Find: Number of integers that must be picked in order to be sure that at least two of them have…

Q: How many different sequences of 5 ternary digits (0, 1, 2) are possible? The number of different…

A: There are total 3 choices for each digit. We will have to pick 5 digits. Each digit can be picked in…

Q: A 16-bit string is a sequence of 16 symbols, each symbol a 0 or a 1. How many 16-bit strings are…

A: A bit string is a sequence of  symbols, each symbol a  or a We have to find the possible number of…

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: From the digits 4,3,6,1,5 and 7. How many 4 digit numbers can be made w/o repetition that are more…

A: The number of permutations of n objects taken r at a time is determined by the following formula:…

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

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