James owns 7 different mathematics books and 6 different computer science books and wish to fill 5 positions on a shelf. If the first 3 positions are to occupied by math books and the last 2 by computer science books, in how many ways can this be done?

Q: How many ways can a 4 member committee be selected from a club with 15 members? If the club's 15…

A: Given that there are 15 members. In 15 members, 8 are men and 7 are women.

Q: There are 15 different courses and 18 students in a school. Every student takes 4 courses. Show that…

A: Given, There are 15 different courses and 18 students in a school. Every student takes 4 courses.…

Q: There are 40 pieces of candy in Josh's bag. If - of the 8 candy are bags of M & M's, how many bags…

A: Given there are 40 pieces of candy in Josh's bag. 18 of the candy are bags of M & M's. We have…

Q: In a class of 40 students, 27 like Calculus and 25 like Chemistry. How many like both Calculus and…

A: Let x be the number of students who like both the subjects.

Q: How many Licence plates of two letters followed by three digits can be made if the letters and…

A: Total no. of letter from A-Z is =26Total no. of digits from 0-9=10

Q: The math club needs to send 4 representatives – 2 females and 2 males to a meeting. If there are 12…

A: GivenNo. of female math club members = 12No.of male math  club memebrs = 23no.of representatives  to…

Q: How many ways can 2 students be selected from a group of 5 students if order does not matter?

A: Given information- We have given that we have given a group of 5 students. We have to select 2…

Q: Tony and Maria are two star-crossed lovers trying to get on a committee of 3 people. If there are 10…

A: In the question,Tony and Maria are trying to get on a committee of 3 people,Total number of eligible…

Q: A pianist plans to play 4 pieces at a recital from her repertoire of 25 pieces. How many different…

A: Given : No. of repertoire pieces = 25 A pianist plans to play 4 pieces i.e n = 4

Q: If there are 5 logs in a pile of 30 that have sap on them, how many logs will have sap out of 360?

A: Given:--Number of logs that have sap on them in pile of 30 = 5 To Find:- Number of logs that have…

Q: A Class with 50 students 30 students come from single parent home. 37 students live with their…

A: total number of students in a class = 50  Since 5 live with adopted parents, therefore, number of…

Q: A license plate used 2 digits followed by two letters. If the numbers 1 and 0 can not be used in the…

A: Consider the provided question, Since, the numbers 1 and 0 can not be used in the digits. So, the…

Q: John Mark is 38 years younger than Alondra. 9 years ago, Alondra's age was 3 times John Mark's age.…

A: Here we consider John Mark age as an unknown and then will make linear equation using given…

Q: The call letters for radio stations begin with K or W, followed by 3 additional letters. How many…

A: Permutation is an arrangement of numbers. For example, 2 of the 3 objects A, B and C are taken at a…