An exam consits of four true/false questions followed by three multiple choice questions each with 4 answers.A) How many ways can a student answer the exam if they answer all of the questions? B) How many ways can a student answer the exam if they can leave true/false questions blank? C) How many ways can a student answer the exam if they can leave any of the questions blanks?

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: A student must answer 3 out of 5 essay questions on a test. In how many different ways can the…

A: A student must answer 3 out of 5 essay questions on a test. In how many different ways can the…

Q: How many different 11-letter words (real imaginary) can be formed from the letters in the word…

A: We have to find the total number of 11-letter words that can be formed from the letter in the word…

Q: Suppose there are 5 questions in an exam paper, find the number of ways in which a student can…

A:

Q: A student must answer 6 out of 8 questions on an exam. How many different ways can he do the exam?…

A: The objective of the question is to find out the number of ways a student can answer 6 out of 8…

Q: Suppose Allan is going to build a playlist that contains 12 songs. In how many ways can Allan…

A:

Q: There are 15 people eligible to receive 4 different awards.  The awards are in the amounts of $50,…

A: Given: There are 15 people eligible to receive 4 different awards. The awards are in the amounts of…

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

A:

Q: A musician knows 10 songs is only going to play 4 of them at a concert. In how many different ways…

A: A musician knows 10 songs is only going to play 4 of them at a concert.  In how many different ways…

Q: A group of campers is going to occupy 3 campsites at a campground. There are 15 campsites from which…

A: The objective of this question is to find out the number of ways in which 3 campsites can be chosen…

Q: After a service call by a plumber, the company follows up with a survey to rate the service and…

A: For yes/ no type questions:

Q: An exam contains five ​"true or​ false" questions. In how many different ways can the exam be​…

A: By the fundamental counting principle, the number of ways to happens more than one independent event…

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…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.