spans 10 generations

Q: How many possible meals are there?

A: here use fundamental of counting principle   The school canteen offers the following choices for…

Q: calculate the number of ways that the first, second, and third place horses can finish in a race…

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Q: in how many ways can 5 children be arranged in a line for a photograph?

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Q: How many 5 letter codes are possible from the first 7 letters of the alphabet? a.) letters can be…

A: Excel is used to obtain the line and bar graph for years of education and years of experience,…

Q: Five flags are posted in a row. In how many ways can these flags be posted if the Philippine flag…

A: Number of flags posted in the row. Philippine flag is at center.

Q: How many 10-digit telephone numbers (area code + number) are possible if the first digit cannot be…

A: It is given that the first three digits cannot be 800 or 900 or all the numbers from 000 to 099.…

Q: How many combinations can the seven colors of the rainbow be arranged into groups of three colors…

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Q: How many numbers can be formed from the digits 1, 2, 3, and 4 if repetitions are not allowed?

A: How many numbers can be formed from the digits 1, 2, 3, and 4 if repetitions are not allowed.

Q: How many 6 digit telephone numbers can be formed if each number starts with 35 and no digit appears…

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Q: If six people greet each other at a meeting by shaking hands with one another, how many handshakes…

A: Solution: Consider the six people A, B, C, D, E, and F greet each other and shake hands The total…

Q: If eight people greet each other at a meeting by shaking hands with one another how many handshakes…

A: Given that, Eight people greet each other at a meeting by shaking hands with one another.

Q: A class consists of 12 students ​(six boys and six ​girls) and one teacher. In how many ways can the…

A: Here there is a class consists of 12 students where there is 6 boys and 6 girls and 1 teacher We…

Q: How many ordered lists are there of seven items chosen from twelve?

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Q: How many ordered lists are there of two items chosen from twelve?

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Q: Five of ten books are arranged on a shelf. In how Many waYS Can this be done?

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Q: In a lottery, six numbers are randomly chosen from the set {1, 2, 3, ... 49}, so there are possible…

A: Hint: It is given that there are 1,2,...49 numbers. We are choosing 6 numbers from it. Now, obtain…

Q: How many 3-digit numbers can be formed that are greater than 5 hundred and whose last digit is…

A: Given conditions: 3-digit number greater than 500 Last digit is a 3 or 9

Q: How many ways can the 7 flowers be chosen?

A: We have given that  Total number of flowers = 18

Q: Find the number of different ways that a family of 9 can be seated around a circular table with 9…

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Q: When rolling an eight sided die, and a four sided die, how many possible combinations are there?…

A: The first dice is eight sided and the second dice is four sided. therefore, for the first dice, the…

Q: An office building has six doors. In how many ways can a person enter the building through a…

A: When a number of things are arranged in some order or a rearrangement is made for those things, this…

Q: How many seats are there in all 28 rows?

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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: Find the number of different ways that a family of 6 can be seated around a circular table with 6…

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Q: How many different five letter “words” can be made out of the letters in the word world?

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Q: Five different colored flags will be placed on a​ pole, one beneath another. The arrangement of the…

A: This is a problem related to the permutation and combination part of the mathematics. Based on the…

Q: How many different numbers of five digits can be made using the digits 2,2,3,3,3?

A: The objective is to find how many different numbers of five digits can be made using the digits…

Q: A person has two parents, four grandparents, eight great-grandparents, and so on. What is the total…

A: The person has two parents, four grandparents, eight great-grandparents, and so on. This makes the…

Q: How many seven-digit numbers can be made from the digits 1 to 9 if repetition is allowed?

A: Given that  To find the number of ways of 7 digit number can be made from the 1 to 9

Q: At a meeting between coworkers, the eight participants sit on a round table facing the beach. There…

A: Given: There are 8 participants 2 pairs are to be seated together

Q: Some people can trace their ancestry back ten generations, which means two parents, four…

A: Number of ancestors during the ten generations preceding his own generation;   = Sum of 10 terms of…

Q: how many ordered lists are there of three items chosen from six ?

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Q: Four different colored flags can be hung in a row to make a coded signal. How many signals can be…

A: Number of signals on display of 1 flag=4  Number of signals on display of 2 flags =4×3=12 Number of…

Q: In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the…

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Q: A group of 5 students is to be chosen from a 30-member class to represent the class on the student…

A: From the given information, a group of 5 students is to be chosen from a 30 member class to…

Q: How many ways can 7 people fall in line if 2 persons doesn’t want to be seated next to each other?

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Q: In a group of seventeen people, each person shakes hands once with each other person in the group.…

A: Shaking hands in a group involves pairings of two people in all possible ways. Let we have N people…

Q: how many ways can the books be arranged on a shelf if books of the same subject must be placed…

A: here given  there are total 4 different mathematics books and 5 different science book here use…

Q: How many seven-digit telephone numbers are possible if the first two digits cannot be ones or zeros?…

A: How many seven-digit telephone numbers are possible if the first two digits cannot be ones or zeros?…

Q: How many poles will there be in a stack of telephone poles if there are 58 in the first layer, 57 in…

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Q: How many passwords can be made if each password a sequence of 4 uppercase flowed by a consonant…

A: For one digits we have 10 choice For 2 digits we have 10*10 =100 choice  For one  Uppercase latter…

Q: A hotel reservation number consists of 5 digits, followed by 2 letters, followed by 2 digits. How…

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Q: Seven elementary students are selected to give a 3-minute presentation on what they did during…

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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 license plates are possible if they consist of 1 digit followed by 1 letter followed by 5…

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Q: How many passwords can be made if each password a sequence of 4 uppercase followed by a consonant…

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Q: How many 5 letter "words" can be formed if exactly 2 of the letters are vowels if order is…

A: There are 5 vowels and 21 consonants. Here, the order is important.

Q: When purchasing a ticket for the PowerBall lottery game a player chooses 5 distinct numbers between…

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Q: How many blocks would be needed to build a stack like the one shown In the figure If the bottom row…

A: Given that bottom row has 21 blocks. On going from bottom to top, number of blocks are reduced by 1.…