A computer programming team has 15 members. Seven members are senior and eight members are juniorprogrammers.Answer each of the following questions and enter an exact numerical value (that is, an integer) in the box.a) How many ways can a group of seven be chosen to work on a project?b) How many groups of seven can be chosen with at least three senior programmers?c) Suppose two members refuse to work together. How many groups of seven can be.chosen to work on aproject?d) Suppose two team members insist on either working together or not at all on projects. How many groupsof seven can be chosen to work on a project?e) There is a project that has eight modules, each of which is to be assigned to exactly one programmer towork on. A group of seven is to be formed for this project (and consequently one programmer will beassigned two modules). How many ways can the group be formed and tasked with the roles?IJo search

According to the Bartleby guideline only three sub parts of the question can be solved at one time,…

A computer programming team has 15 members. Seven members are senior and eight members are junior programmers. Answer each of the following questions and enter an exact numerical value (that is, an integer) in the box. a) How many ways can a group of seven be chosen to work on a project? b) How many groups of seven can be chosen with at least three senior programmers? c) Suppose two members refuse to work together. How many groups of seven can be.chosen to work on a project?