Six teachers and 12 students volunteer for a committee to discuss extra-curricular activities. How many committees of 5 people can be made if: a) there must be 3 students on the committee b) there must be no more than 2 teachers on the committee c) there must be at least one teacher and at least one student on the committee d) Barry and Miss Morrison cannot be on the committee together.

Q: Three research department have 8,6,and 10 members , 4 respectively. Each department is to select a…

A: Three research department have 8,6, and 10 members, respectively.

Q: legislative committee consists of 5 Democrats and 6 Republicans. A delegation of 3 is to be selected…

A:

Q: Lenny has 5 friends in his neighborhood. In how many ways can he choose 3 to help him move…

A: Lennh has friends = 5 Number of friend to be chosen = 3

Q: 20 people have volunteered for a 5-person neighborhood advocacy committee. 13 of them are homeowners…

A:

Q: A class has 13 ​students, of which 4 are seniors. How many committees of size 4 can be selected if…

A: Combination of n objects taken r at a time = n!(n-r)!r! where 0≤r≤n.

Q: A large research project is looking for more researchers. There are 8 spots open on the research…

A:

Q: A committee is to consist of three members. If there are six men and seven woman available to serve…

A: given, Number of men=6 Number of women =7 total number of men and women=6+7=13 A committee is to…

Q: Faculty at a certain university need to create a committee to evaluate the general studies…

A:

Q: On a business retreat, your company of 28 executives go golfing. a. You need to divide up into…

A: Solution:   The total number of distinct ways of arranging the letters of the word of length N…

Q: There are 7 women and 8 men in a department. How many ways can a committee of 4 people be selected?

A: The objective of this question is to find out the number of ways a committee of 4 people can be…

Q: From 8 married couples, a team of 5 members consisting of 3 men and 2 women will be formed, where t…

A: there are 8 married couples, therefore first select 3 men out of the 8  this can be done in 8c3…

Q: A married couple decides to have a party. The husband has 8 friends and the wife has 9 friends.…

A: Solution: Given information: Husband has 8 friends  Wife has 9 friends  Total friends = 8+9= 17

Q: There are 5 men and 8 women auditioning to be in the school play. Answer the following questions: 1.…

A: Given : Number of men = 5 Number of women = 8

Q: A police department in a small city consists of 10 officers. If the department policy is to have 5…

A: From the provided information, Total officers = 10 5 of the officers patrolling the streets, 2 of…