In a chess game, you have 5 moves to make to win the game, and the order of the moves affects the outcome. Which among the options is the mathematical form to use in counting the permutations of objects?

In a chess game, you have 5 moves to make to win the game, and the order of the moves affects the outcome. How many different sequences of moves can you make?

You are studying a sequence of 4 nucleotides (A, T, C, G) in your science subject. The order of the nucleotides is crucial. Which represents the numerical form of the permutations of the nucleotides?

You are studying a sequence of 4 nucleotides (A, T, C, G) in your science subject. The order of the nucleotides is crucial. How many different sequences can be formed with these nucleotides?

You are planning a trip for your summer vacation with your friends with 6 destinations, Davao City, Cebu South, Cebu North, Cebu City, Bohol, and Dumaguete. The order in which you visit each place matters. What mathematical statement represents the itinerary?

You are planning a trip for your summer vacation with your friends with 5 destinations, Cebu South, Cebu North, Cebu City, Bohol, and Dumaguete. The order in which you visit each place matters. How many different itineraries can you create?

A Grade 10 student is to create a Facebook password with 6 slots using letters and digits. 1.  What formula can you use to find the number of ways a password can begenerated?

A Grade 10 student is to create a Facebook password with 6 slots using letters and digits. 1.  If the password consists of letters only, which is the correct solution for determining the number of ways it can be formed given that the letters are not to be repeated? 

A Grade 10 student is to create a Facebook password with 6 slots using letters and digits. If the password consists of digits only, which is the correct solution for determining the number of ways it can be formed given that the digits are not to be repeated?

A Grade 10 student is to create a Facebook password with 6 slots using letters and digits. 1.  If repetition is not allowed, how many ways can a password be created using 2 letters followed by 4 digits?

A Grade 10 student is to create a Facebook password with 6 slots using letters and digits. If repetition is not allowed, how many ways can a password be created, using letters only or digits only?

A librarian has 6 different books and wants to display 3 of them in a row on a shelf. How many different arrangements of 3 books can the librarian make?

A group of 5 students is auditioning for 3 different roles in a school play: lead actor, supporting

actor, and narrator. Each role is unique and no student can have more than one role. What formula to be used in solving this problem?

A group of 5 students is auditioning for 3 different roles in a school play: lead actor, supporting

actor, and narrator. Each role is unique and no student can have more than one role. In how many ways can the 3 roles be assigned to the 5 students?

In a sports event, there are 12 participants. The gold, silver, and bronze medals will be awarded

to three distinct participants. How many distinct ways can the medals be awarded?

In a sports event, there are 12 participants. The gold, silver, and bronze medals will be awarded

to three distinct participants. Suppose that one participant, Earl, cannot win any medal. In how many ways can the remaining 11 participants win gold, silver, and bronze?

In a sports event, there are 12 participants. The gold, silver, and bronze medals will be awarded to three distinct participants. If the gold medal must go to a specific participant, say Ian, in how many ways can the silver and bronze medals be awarded?

A librarian is arranging a set of books on a shelf. There are 6 books: 2 identical history books, 2 identical science books, and 2identical literature books. The librarian wants to know how many distinct ways the six books can be arranged on the shelf.

A librarian is arranging a set of books on a shelf. There are 6 books: 2 identical history books, 2 identical science books, and 2identical literature books. The librarian wants to know how many distinct ways the books can be arranged on the shelf if you are going to add two identical mathematics books on a shelf.

In a school, there are 12 students in a class, and the teacher wants to select 4 students to represent the class in a debate competition. How many different groups of 4 students can the teacher select?