11. In how many ways can 4 boys and 5 girls sit in a row if the boys and girls must alternate?

Q: To prepare for a safe grad, a committee of 6 people must be formed from a group of 5 teachers and 6…

A: To determine the number of ways the committee can be formed.

Q: How many ways can a 4 member committee be selected from a club with 15 members? If the club's 15…

A: Given that there are 15 members. In 15 members, 8 are men and 7 are women.

Q: If there are four (4) students namely: karen, maxine, grace, and minie. How many different seating…

A: Given, The four students are karen, maxine, grace, and minie.  We have to find the number of…

Q: A legislative committee consists of 8 Democrats and 10 Republicans. A delegation of 4 is to be…

A:

Q: Compute P5,2.

A: To compute P5,2

Q: A bag contains 2 red marbles, 5 green ones, 1 lavender one, 5 yellows, and 3 orange marbles.  How…

A: Since we are making set, so the order will not matter.   If we select the lavender one, then we can…

Q: 12. From 6 biologist and 7 chemists, a committee of 3 biologists and 3 chemists is to be formed. How…

A:

Q: Suppose you are at a buffet and there are 10 vegetarian options and 6 options with meat. How many…

A: There are 10 vegetarian options and 6 options with meat at a buffet. The number of ways that exactly…

Q: How many ways can a jury of 5 women and 6 men be selected from 13 women and 12 men

A:

Q: How many different committees can be formed from 7 teachers and 39 students if In how many ways can…

A:

Q: Q5. In how many ways can 7 men and 10 women sit in a row if the seat numbers 1-7 are for the men the…

A: Number of ways to allocate 7 men in seats 1-7 will be: Number of ways = 7!…

Q: How many committees of six can be formed from 17 Republicans and 14 Democrats if three members of…

A: Given : 17 Republicans and 14 Democrats

Q: Mr. Smith has a classroom with a row of 8 desks. Suppose that Jessy and Jenna are part Mr. Smith's…

A: Case 1 jessy and Jenna can be seated in 1 and 5 position case 2 jessy and Jenna can be seated in 2…

Q: In how many ways can four boys and five girls sit in a row if the boys and girls must sit…

A:

Q: How many different committees can be formed from 11 teachers and 42 students if In how many ways can…

A:

Q: basketball team has 5 guards, 6 forwards, and 2 centers. How many different 5 player teams can be…

A:

Q: In how many ways can a team of 5 people be formed from a group of 5 Germans, 3 French, and 4…

A: Such prolems can be solved by using permutation .formula used in permutation is:-Prn=n!(n-r)!where…

Q: There are 7 women and 5 men in a department. How many ways can a committee of 4 people be selected?…

A: Given: Number of women = 7 Number of men = 5 Total number of people = 7+5 = 12

Q: How many different committees can be formed from 7 teachers and 49 students if the committee…

A: From the provided information, There are 7 teachers and 49 students and the committee consists of 2…

Q: How many ways can Paolo, Rico, Jared, Arnold, Edward, Janna, Victoria, Hazel, Julia, Alice, and Lyka…

A: Given : Total no of people= 11 Paolo and Hazel sit next to each other.

Q: A class contains eight boys and eight girls. In how many ways can they stand in a line if they must…

A: Given, A class contains eight boys and eight girls.

Q: suppose that we wish to seat 10 people, 5 men and 5 women, in a row of ten chairs. in how many ways…

A:

Q: In how many ways can the committee of 7 members be selected? How many different committees can be…

A:

Q: A team of 6 people is to be chosen from a group of 7 girls and 4 boys. There ae possible teams if…

A: Combination formula :  Number of ways to select  r items from total n items is given by,   Crn =…

Q: In how many ways can 4 CS students and 5 IT students sit in a row if the CS and IT students must…

A:

Q: 5a. A bag contains two red marbles, six green ones, one lavender one, two yellows, and four orange…

A: These are combination problems.

Q: In how many ways can three committees of 8 persons be formed from 44 persons if the chosen persons…

A: The number of ways to select  r different objects from n different objects, can be given as, Crn…

Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee…

A:

Q: In how many ways can a subcommittee of eight be chosen from a Senate committee of seven Democrats…

A: We have to find In how many ways can a subcommittee of eight be chosen from a Senate committee of…

Q: Suppose that a department contains 9 women and 15 men. How many ways are there to form a committee…

A: Given:Total women = 9Total men = 15Total committee members required = 7Condition: The committee must…

Q: How many different committees of 3 men and 4 women can be formed from 8 men and 6 women? solve by…

A: