A class consists of 15 boys and 12 girls. They want to elect officers so that the president and secretary are girls, and the vice president and treasurer are boys. (a) How many possibilities are there? possibilities (b) How many are there if 3 of the boys refuse to participate? possibilities Additional Materials

Q: Ten pirates find a sack of gold coins. When they try to divide up the gold (with equal shares for…

A:

Q: 2-) In a factory there are (7) engineers and (5) accountants. A committee of (3) engineers and (2…

A: Given : In a factory, there are 7 engineers and 5 accountants. A committee of 3 engineers and 2…

Q: Lu Valle Cafe lets you order a deli sandwich your way. There are five choices for bread, four…

A: Given that 5 bread, 4 meat, 3 for bread We have to find different sandwich possibilities are there…

Q: Suppose we want to choose 5 letters, without replacement, from 15 distinct letters. (a) How many…

A: Solution-: Here, n=15,r=5 We want to choose 5 letter, without replacement from 15 distinct letter.…

Q: A legislative committee consists of 5 Democrats and 4 Republicans. A delegation of 4 is to be…

A: Answer

Q: A class consists of 13 boys and 10 girls. They want to elect officers so that the president and…

A: Number of boys = 13 Number of girls = 10 Rules: President and Secretary are girls,  Vice president…

Q: A coach had 21 people try out for the team, but only 13 people can make the team. How many different…

A:

Q: The math club at college has 16 students - 10 males and 6 females. (a) The club wants to select a…

A:

Q: At a movie​ festival, a team of judges is to pick the​ first, second, and third place winners from…

A: It is given that there are totally 19 films entered at a movie festival.

Q: Soccer Shootout In soccer, a tie at the end of regulation time leads to a shootout by three members…

A: From the provided information, the total number of players are 11.The required total number of ways…

Q: There are N employees at a new company, and they are forming a union. How many ways are there to…

A:

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

A:

Q: A class consists of 10 boys and 15 girls. They want to elect officers so that the president and…

A: (a) Find the number of possible ways to elect 4 officers out of 10 boys and 15 girls. (b) Find the…

Q: Kennedy High School is going to select a committee. The committee will have a faculty member, a male…

A: Permutation: The process of arrangement of certain objects from a set, where the order of…

Q: An employee group requires 6 people be chosen for a committee from a group of 16 employees. The…

A: As per guideline expert have to answer first question only dear student please upload other question…

Q: In how many ways can a president, vice president, secretary, and treasurer be elected from a group…

A: Step 1:Here is group of 6 people.From this, we need to choose 4 people: president , Vice president ,…

Q: Example 47. committees of five can be formed? (b) How many of these has the head master? A school…

A:

Q: ✅✅❎♦️♦️♦️♦️

A: To find the number of ways to select a sample of 7 cellphones from a shipment of 23, you can use the…

Q: Three couples have purchases tickets for a stage play. Spouses are to be seated next to each other…

A:

Q: class consists of 15 boys and 12 girls. They want to elect officers so that the president and…

A: To determine the number of ways two girls one as president and another as secretary, and two boys…

Q: A club with 20 women and 17 men needs to choose three different members to be president, vice…

A: 17-men 20- women 37- total members choose three disffrent members to be president, vice president ,…

Q: A math instructor has 46 calculators in her office. Of them, 22 have dead batteries, 28 have cracked…

A:

Q: A president and vice president for a club must be chosen from four people. How many different…

A: The permutation is defined as the arrangement of things or objects into a definite order. In…

Q: In how many different ways can a panel of 12 jurors and 2 alternates be chosen from a group of 17…

A: The total number of jurors is 17.

Q: Suppose we want to choose 2 objects, without replacement, from the 3 objects pencil, eraser, and…

A: Let,P= pencil E= eraser D= deskHere we are using the formulae for permutation and combinations.

Q: How many different committees of 3 people can be formed from a pool of 7 people? A We need to pick a…

A: Given: There is a pool of 7 people.

Q: 10 people are in a club. How many ways are there to form a committee consisting of members of the…

A: 1. Number of ways to form a committee consisting of members of the club such that the committee has…