1. Write the number of permutations in factorial form. Then simplify. How many different ways can you and six of your friends sit in your assigned seats in math class?
A.6!; 120
B.6!; 720
C.7!; 2,520 ••
D.7!; 5,040
Correct me
SO D is the answer
It's 7! 5,040
So it's D ?
Yes its D 🙄😂🤣
Nope. It is 7!, but that's not 2520
Not my answer choices
So whats the answer
can you show us how you got it I'm trying to do revisions
Certainly! The number of permutations can be calculated using the formula n!, where n represents the number of objects being permuted.
In this case, there are 7 people (you and your 6 friends) who need to be seated in assigned seats, so the number of permutations can be calculated as follows:
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1
= 5,040
Therefore, the correct answer is D.
how many different ways can the students at a school select the president vise president and secretary from a group of 5 people
The number of ways to select a president, vice-president, and secretary from a group of 5 people can be calculated using the formula for permutations.
The first position can be filled by any of the 5 people, the second position can be filled by any of the remaining 4 people, and the third position can be filled by any of the remaining 3 people. So the total number of possible ways to select a president, vice-president, and secretary is:
5 x 4 x 3 = 60
Therefore, there are 60 different ways that the students can select the president, vice-president, and secretary from a group of 5 people.
there are 25 people competing in a race how many times can they finish in 1st and 2nd place
The number of ways that the 25 people can finish in first and second place can be calculated using the formula for permutations.
The first position can be filled by any of the 25 people, the second position can be filled by any of the remaining 24 people. So the total number of possible ways to select two people to finish in the first and second place is:
25 x 24 = 600
Therefore, there are 600 different ways that the 25 people can finish in first and second place.
an ice cream shop has 6 toppings if a sundae can have exactly 4 different toppings how many sundaes can you make
To figure out the number of sundaes that can be made with exactly 4 different toppings out of a total of 6 toppings, we need to use a combination formula.
The number of ways to choose 4 toppings out of a total of 6 is given by:
C(6, 4) = 6! / (4! x (6-4)!) = 15
Therefore, there are 15 different sundaes that can be made with exactly 4 different toppings out of the 6 toppings available.