2. The family tree in figure spans three generations and lists seven people. How many names would be listed for the same family tree that spans 10 generations? YOU Mom Dad Grandma Grandpa Grandma Grandpa

Q: 9 children are to be seated on a bench. How many ways can the children be seated and ordered on the…

A:

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

A:

Q: how many ways can the 30 members of a company club select a president, a vice president, and a…

A: From the given information we find the solution.

Q: How many ways can 6 boys stand in a line if a certain boy must come first?

A:

Q: In how many ways can 11 people be seated in a row?

A: There are 11 people to be seated in a row with 11 seats Assume that the first person chooses to sit…

Q: How many different ways a president and a vice president  can be selected from a group of 1414…

A: Total number of candidates = 1414. No. of candidates to be selected =2. Here, while appointing…

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 ways can five persons line up to get on a bus?

A: The number of persons is 5.

Q: in how many ways can 37 senators be arranged in the senate Explain step by step

A: Given: 37 Senators in the senate. As there are 37 Senators in total, so to select the first senator…

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 ways can 12 students standing in a line be arranged if John must be first in line?

A:

Q: 3. Suppose 1500 runners are in a race. How many ways could the runners finish in 1*, 2nd and 3rd…

A:

Q: In how many ways can five people boarding a bus be seated if the bus has seven vacant seats?

A:

Q: In a friend group of six, how many ways can we arrange them in a line for a photograph?

A: In a friend group of six, we have to arrange them in a line for a photograph.

Q: In how many ways can you place 9 different books on a shelf if there is space enough for only 5…

A: Given, 9 different books on a shelf and there is space only for 5 books.

Q: In how many ways can 7 people be seated in a row if only 4 chairs are available?

A: Here 4 chairs are available and 7 people can be seat.

Q: In how many ways can 9 books be arranged on a shelf if 5 particular books must always stand…

A:

Q: Five letters, A,B,C,D, and E are arranged in a line. How many arrangements are possible if A can’t…

A: Given that:*The letters available to arrange in a line is,A,B,C,D and E.*The letter A can't be…

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

A: Answer:  48 Here we want to form a four digit number from 1,2,3,4 and 5 and number should be between…

Q: In how many ways can eight children posing for a photograph line up in a row?

A: 8! = 40320 ways can eight children posing for a photograph line up in a row

Q: . In how many arrangements can 7 women and 7 men be placed in a line if all the women line up first?…

A:

Q: In how many different ways can ten books be arranged on a shelf?

A: Given that there are ten books available to arrange them in shelf.

Q: spans 10 generations

A:

Q: How many 5-number license plates can be made using the digits: 0, 1, 2, 3, 4, 5, if repetitions are…

A: Given that 5-number license plates that are made using digits 0, 1, 2, 3, 4, 5. We have to determine…

Q: In how many different ways can 9 people arrange themselves in a line to receive service from a…

A: Given information: There are total 9 people arrange themselves in a line to receive service from a…

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

A:

Q: (a) How many four-digit numbers can be formed from the digit 0, 1, 2, 3, 4,5, 6, 7, 8 ,9 if each…

A:

Q: A student may answer any six of ten questions on an examination. (a) In how many ways can six…

A: Given:  A student may answer any six of ten questions on an examination.To find:a)The number of ways…

Q: In how many different ways can six books be arranged on a shelf?

A:

Q: If repetitions are not permitted, from the 6 digits 0, 2, 3, 4, 5, and 8, how many 4- digit number…

A:

Q: How many ways 5 students be seated in a row of 5 chairs for a pictorial?

A: Given students=5 chairs= 5

Q: How many committed of 7 people can be formed from a pool of 30 people

A: we have to find no of ways committed of 7 people can be formed from a pool of  30 people

Q: How many ways can seven people be seated at a roundtable relative to the door of a room?

A: Number of people are = 7 The number of permutation of n elements in a circle is: P=n-1!

Q: In how many ways can 9 individual be seated in a row of 9 chairs

A: 9 individuals are needed to be seated in a row of 9 chairs.

Q: In how many ways 7 boys and 6 girls can be arranged on a bench if Anne and Jim sit together?

A:

Q: In how many ways 5 passengers can sit in a compartment having 16 vacant Example 39. seats?

A:

Q: Of 12 possible books, you plan to take 6 with you on vacation. How many different collections of 6…

A:

Q: 8) In a track meet, ten runners compete for first, second, and third place. How many different ways…

A: Correct answer is =  3! * 103 = 6 * 10*9*83*2*1 = 720

Q: A class of 40 students is to choose a set of classroom officers composed of the President,…

A: Permutation formula : nPr = n! /(n-r)!

Q: Ten members of a wedding party are lining up in a row for a photograph. (a) How many ways are there…

A: (a) Compute the number of ways to line up ten people as follows. It is known that the number of ways…

Q: Powerball lottery requires choosing five of the numbers 1 through 59 and one number from 1 through…

A: Consider the provided question, 5 number can select from 59,  C559 ways. and, 1 number can select…

Q: In how many different ways can 4 passengers be seated in an airplane if each passenger can select…

A:

Q: 8. A committee of five senators is to be selected from the U.S. Senate. How many different…

A: In U.S. Senate, the total number of senators = 100 Here, we need to make committee of five senators…

Q: A family has 6 kids. In how many ways could the parents have the three boys and three girls?

A:

Q: Suppose a telephone number consists of a sequence of seven digits not starting with a 0 or 1.  a.…

A: From the provided information, The telephone number consists of a sequence of seven digits. a) If…

Q: In how many ways can a teacher arrange 6 students in the front row of a classroom with a total of 20…

A:

Q: In how many ways can four children fall in line if the tallest be the last?

A: In how many ways can four children fall in line if the tallest be the last?

Q: In how many ways can 5 starting positions on a basketball team be filled with 8 men who can play any…

A: GivenNo.of Men(n)=8No.of positions(r)=5

Q: How many possible ways can five different pictures be hung along a wall?     5     120     50…

A: GivenNo.of pictures =5