Four friends set up a a camera so that it would take a photograph of the group standing in a lne. They argued about who would stand where, so decided to take a photograph of every possible arrangement of the 4 of them. How many photographs need to be taken?
if everyone of them had a different opinion then each one will have 3 argument
which will add to 12 this is how i see it.
there are 4! ways or 24 ways for them to line up
ummmm...hello....its snowing there's gonna be a snow day tomorrow, so you can turn the assignment in on Tuesday.....your welcome.<3
What are the advantages of using a photograph to learn taking a stand how is it positive or helpful
To determine the number of photographs needed, we can use the concept of permutations. In this case, since the friends are lining up in a specific order, we need to find the number of permutations of 4 people taken all at once.
To calculate the number of permutations, we can use the formula:
P(n, r) = n! / (n - r)!
In this formula:
- n represents the total number of items (in this case, the total number of friends, which is 4).
- r represents the number of items taken at a time (also 4 in this case).
- "!" denotes the factorial, which means multiplying a number by all the positive integers less than it down to 1.
Plugging the values into the formula, we have:
P(4, 4) = 4! / (4 - 4)!
= 4! / 0!
= 4! / 1
= 4 x 3 x 2 x 1 / 1
= 24
Therefore, in this scenario, a total of 24 photographs need to be taken to capture every possible arrangement of the 4 friends.