Given a set with 7 elements.  Explain why there are the same number of subsets with 2 elements as there are subsets with 5 elements? I really appreciate the help!!!  Thank you in advance!!

Q: teacher prepares 12 assignments for her 3 students. How many different ways can the assignments be…

A: GIVEN DATA,A TEACHER PREPARES 12 ASSIMENTS FOR 3  STUDENTS WE HAVE TO FIND OUT THE NO OF WAYS CAN…

Q: Eight passengers from the United States aboard an international flight compared their travel…

A: Given Information: 8 passengers from the country US aboard an international flight compared their…

Q: In a bag containing 5 white balls and 6 black balls, how many ways can we draw a white or a black…

A:

Q: How many different committees can be formed from 9 teachers and 33 students if the committee…

A:

Q: A dish contains 2 yellow, 4 red, 5 purple, 2 green, and 3 orange candies.  How many sets of 6…

A: A dish contains 2 yellow, 4 red, 5 purple, 2 green, and 3 orange candies.

Q: There are 10 students that are a part of a chess club. 2 kids can play a game of chess at once. How…

A: Ans -:  There are 10 students that are a part of a chess club. 2 kids can play a game of chess at…

Q: You need to rank 2 types of coffee. How many ways are there to rank them?

A: The objective of this question is to find out the number of ways to rank two types of coffee.

Q: There are 10 different software packages from which to select. How many different groups of software…

A: Given: n=10 r = 3 The number of different groups of software packages that can be selected can be…

Q: The first box contains 5 apples, the second box contains 7 apples, the third box contains 9 apples…

A:

Q: When Navya was cleaning up her room, she found four types of items: legos, dolls, origami cranes and…

A: We formulate 4 equations from the given data and then solve each variable.

Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: A dish contains 2 yellow, 4 red, 5 purple, 2 green, and 3 orange candies.  How many sets of 7…

A:

Q: There are 7 performers who will present their comedy acts this weekend at a comedy club. One of the…

A:

Q: You will need to have some squares, you can cut out paper squares that are 1 inch by 1 inch, use…

A:

Q: A student must take 4 electives from a set of 10 electives. How many ways can the student choose the…

A: Solution-: Given: n=10, r=4 We want to find how many ways can the student choose the electives.

Q: A math teacher asks each student to create a password to gain access to her website. The password…

A: Introduction :-  Given :-  The password has 5 digits. The first digit must be a multiple of 1. The…

Q: The president of the college asked a fraternity to submit a list of 7 students to serve as guides at…

A: