Your section needs to elect muse and assistant muse. If there are 12 beautiful ladies in your room, in how many ways can students be chosen for these two positions?Group of answer choices132145156161
Question
Your section needs to elect muse and assistant muse. If there are 12 beautiful ladies in your room, in how many ways can students be chosen for these two positions?Group of answer choices132145156161
Solution
The solution to this problem involves the use of permutations.
A permutation is an arrangement of objects in a specific order. The order of arrangement of the object is very crucial. The number of permutations on a set of n elements is given by n!.
In this case, we have 12 ladies and we want to choose 2 (a muse and an assistant muse). The order in which we choose the ladies matters here (because being a muse is different from being an assistant muse).
So, we use the formula for permutations of n items taken r at a time, which is:
P(n, r) = n! / (n-r)!
Here, n is the total number of items, and r is the number of items to choose.
So, P(12, 2) = 12! / (12-2)!
= 12*11 = 132
So, there are 132 ways to choose a muse and an assistant muse from 12 ladies.
Similar Questions
From 12 students, in how many ways you can select four members of the committee?Group of answer choices480485490495
Our Indiscrete Mathematics course has21 students from the the College of Arts, 15 of whom are female;26 students from the the College of Engineering and Informatics, 7 of whom are female;31 students from the the College of Science, 12 of whom are female.How many ways can we choose a single class rep?Answer: How many ways can we choose three reps, one from each of the three Colleges?Answer: How many ways can we choose three reps, one from each of the three Colleges, so that exactly one is female?Answer:
A performing arts center is holding elections for the new board of directors. If there are 4 different positions open on the board and 5 people want to be considered, how many different ways are there to fill the positions?
There are 25 students in a class with 15 boys and 10 girls. The class teacher selects either a boy or a girl for monitor post of the class. In how many ways, the class teacher can make this selection?
The student council is putting on a school talent show. Sam, Ellie, Tim, and Jake have each signed up to perform. In how many different orders can the program be arranged?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.