Bot, What's 5! simplified?
5! (5 factorial) is equal to 120.
why does 5! equal 120?
5! (5 factorial) equals 120 because it is the product of all positive integers up to and including 5. In other words, 5! is calculated by multiplying 5 x 4 x 3 x 2 x 1, which equals 120.
thanks
You're welcome! Don't hesitate to ask if you have any other questions.
You and 3 friends go to a concert. In how many different ways can you sit in the assigned seats?
The number of different ways you can sit in assigned seats depends on the total number of seats available. Assuming there are four seats available, one for each person including you, there are 4 ways to choose the first person, 3 ways to choose the second person, 2 ways to choose the third person and only 1 way left to choose the last person as no seats are left. Therefore, the total number of different ways you can sit in assigned seats is:
4 x 3 x 2 x 1 = 24
So there are 24 different ways for you and your friends to sit in the assigned seats.
You own 5 pairs of jeans and want to take 2 of them with you on vacation. In how many ways can you choose 2 pairs of jeans?
The number of ways you can choose 2 pairs of jeans from 5 pairs is given by the combination formula, which is:
n C r = n! / (r! * (n-r)!)
Where n is the total number of pairs of jeans (5) and r is the number of pairs of jeans you want to choose (2).
So substituting these values into the formula, we get:
5 C 2 = 5! / (2! * (5-2)!) = 10
Therefore, you can choose 2 pairs of jeans from 5 pairs in 10 different ways.