(2) A total of 3 freshmen, 5 sophomores, 3 juniors and 4 seniors are eligible for a $3000 scholarship, a $2000 scholarship and a $1000 scholarship. a) How many distributions of scholarships are there if none go to freshmen? b) How many distributions of scholarships are there if at least two must go to seniors? c) How same class can receive a scholarship? many distributions of scholarships are there if no two students from the

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: There are 12 women running in a race. How many different ways   could first, second and third prize…

A: The first winner can occur in 12 ways, the second winner can occur in (12-1)=11 ways, the third…

Q: In how many ways can a student choose to do 7 questions out of 8 on a test?

A:

Q: In how many different ways can a 4-child family have 2 boys and 2 girls?

A: To determine: Ways can a 4-child family have 2 boys and 2 girls.

Q: suppose 4 marbles are dawn from an urn containing 5 red and 4 blue marbles, and the number of blue…

A: The probability distribution is binomial. Probability of the marble being blue=49=0.444

Q: How many arrangements of 9 little league players are possible if there are 20 kids who wish to play…

A: The objective of this question is to find out the number of possible arrangements of 9 players out…

Q: How many ways are there to select three diamond earrings from a box of ten diamond earrings,…

A: Total diamond earrings = 10 We have to select three diamond earrings from a box. Order does not…

Q: If 4 coins are tossed, in how many ways can they fall?

A: Each coin has two possible outcomes - heads or tails.    H = Heads, T = Tails Each of the 4 tosses…

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

A: Different ways that eight people can sit in a row.

Q: A person tossed a coin 8 times. In how many ways can he get 5 tails?

A: Given information- We have given that a person tossed a coin 8 times. We have to find the number of…

Q: In an enormous car park with 10 levels there are 38 free spots. In how many different ways can the…

A: GivenNo.of free spots (n)=38no.of var park levels(r)=10

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: How many 5 person teams can be formed from a group of 25 people? O 53,130 O 6,375,600 O 125 3000

A: Division into Groups:      To find the number of ways in which 'm' things can be divided into groups…

Q: If 15 people start a race, in how many different ways can the top 3 finishers be determined?

A: Permutation:   It  is an arrangement of objects in a definite order where the order is important.…

Q: 60 people are at a banquet, 3 participants are selected to win door prizes. If the first person…

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

Q: How many ways are there to pair 2n people?

A: We need to compute the number of ways in which 2n people can be paired.

Q: In how many ways can a student choose to do 5 questions out of 11 on a test?

A: The question is based on permutation. We need to find the number of ways a student can choose 5…

Q: How many different patchwork quilts, four patches long and three patches wide, can be made from five…

A: Given: Five red and seven blue squares.   To determine: The number of different patchwork quilts…

Q: Assume that a grade of A,B,C,D, or F is assigned to each of 9 students. In how many ways can grades…

A: From the provided information, The grades are A, B, C, D or F Total students = 9

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: 9 out of 15 teachers in a school staff meeting were first year teachers. What percentage of the…

A:

Q: In how many ways could a club of 12 members choose a president, Vice President and a treasure?

A: GIVEN DATA : There are 12 members in the club. TO FIND : Number ways 12 members can choose a…

Q: How many ways can 6 different contracts be distributed amongst 9 different​ firms, if any one firm…

A: The total number of different contracts =6 The total number of different firms =9 Given that any one…

Q: How many possible ways can the top 5 finishers come in during a race with 24 racers? Each place…

A: This is a permutation problem.   Out of the 24, there will be 5 racers in the top 5.

Q: ow many way

A: The probability containing a pack of 52 cards.

Q: There are 32 different cards in a deck for playing Twenty-Nine. The cards are distributed equally…

A: As 32 cards are distributed equally among four players, the numbers of cards on each player is…

Q: Five cards are dealt off of a standard 52-card deck and lined up in a row. How many such line-ups…

A:

Q: How many ways to choose 4 out of the 10 candidates to be sent to a conference?

A: Combination Rule: The arrangement of r objects from n different objects is given by:

Q: In how many ways can 5 sets of numbers be picked from 50 numbers in a lottery?

A: From the provided information, Total numbers in a lottery = 50 The required number of ways of…

Q: How many different sets of 5 cards can be formed from a standard deck of 52 cards?

A: We need to find the number of different 5 card sets that can be formed from a deck of 52 cards. Now,…

Q: In how many ways can five people be divided into two groups of one person and one group of three…

A: Solution: Given data : Total people= 5 people in groups Two groups  of one people One group of three…

Q: If 5 horses are in a race and they all finish with no ties, in how many ways can the horses finish…

A: Given information- We have given that 5 horses are in a race. They all finish the race with no ties.…