8. In how many ways can 12 people be divided into three identical groups of four? 9. In how many ways could a group of 10 people form a committee with at least 8 people on it? 10. If a set has 12 elements, how many subsets can be formed?

Q: How many different committees are possible that consist of 5 women and 3 men selected from a group…

A: For a committee, arrangement does not matter so use the combination method.  We can select 5 women…

Q: A new line of pens comes in 9 color options and 9 possible tips (fine, medium, etc.). How many…

A: See the detailed solution below.

Q: In how many ways can a 4-member studernt council consisting of a president, a vice president, a…

A: given that there are 9 students out of which we have to make a 4-members committee for students…

Q: In how many ways is it possible to elect a president, a vice-president, a treasurer, and a secretary…

A: Given Data: The total number of members in the club is: n=43 From the given club a president, a…

Q: How many ways can president, vice president, secretary, and treasurer be determined in a club with…

A: 13 members are there.   How many ways can president, vice president, secretary, and treasurer be…

Q: men. How many ways are there to chc en?

A:

Q: In a club with 5 male and 9 female members, how many 5-member committees can be chosen that have at…

A: We have to find no. If ways to arrange.

Q: Sixteen middle school children are on the track team. a. How many different six member teams can be…

A: The information provided in the question are as follows :- There are in total sixteen middle school…

Q: 14. How many possible ways are there to arrange the order of appearance for 8 contestants in a local…

A: If there are n elements to be arranged in a row, the number of possible arrangements of them in…

Q: 9) From a group of 30 people, a jury of 12 people is selected. In how many different ways can a jury…

A: We use combination formula here to find number of ways to select 12 people out of 30 peoples

Q: are 12 members in the local garden club. In how many ways can a president and secretary be chosen…

A: According to the sum, There are 12 members in the local garden club.  A president and A secretary…

Q: 3. Fred rolls a bowling ball and knocks down four of ten pins. Theoretically, how many ways can four…

A: Step 1: Define combination and permutation*Permutation is used when the order where objects are…

Q: How many different committees can be formed from 9 teachers and 35 students if the committee…

A: We can pick 2 teachers from 9 teachers in 9C2 = 36 ways. We can pick 4 students from 35 students in…

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: A group of 6 people must be chosen from 6 men and 6 women. If there must be at least one person of…

A: Given: Number of men=6Number of women=6 The possible ways of selecting 6 people with at least one…

Q: A university is putting together a hiring committee of 6 members for the next university provost.…

A: We have given information,We have formed a committee of  members, and The members who are eligible…

Q: How many formations of committee from 10 persons are possible if the committee consists of one…

A: In this question, the concept of Permutation and Combination is applied. Permutation  Permutations…

Q: In how many ways can a committee of three democrats and two republicans be formed from a group of…

A: A committee of three democrats from a group of twelve democrats can be selected in 12C3  waysA…