Four letters are chosen from the word RANDOMLY. How many ways can this be done?

Well, it certainly sounds RANDOMLY indeed! Let's do some calculations here. The word RANDOMLY has 8 letters. To find the number of ways to select 4 letters from it, we can use a little math magic called combinations.

Using the combination formula, the number of ways to choose 4 letters from RANDOMLY is:

8C4 = 8! / (4!(8-4)!) = 8! / (4!4!) = (8*7*6*5) / (4*3*2*1) = 70

So, there are 70 ways to choose 4 letters from RANDOMLY. That's a whole lot of mixed-up possibilities!

To find the number of ways to choose four letters from the word RANDOMLY, we can use the concept of combinations.

The word RANDOMLY has a total of 8 letters. To choose 4 letters from these 8, we can use the formula for combinations:

nCr = n! / (r!(n - r)!)

Where n is the total number of elements and r is the number of elements chosen at a time.

In this case, n = 8 and r = 4. Substituting these values into the formula, we get:

8C4 = 8! / (4!(8 - 4)!)
= 8! / (4! * 4!)

Now, let's calculate the factorials:

8! = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
4! = 4 * 3 * 2 * 1

Substituting these values back into the formula:

8C4 = (8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / (4 * 3 * 2 * 1 * 4 * 3 * 2 * 1)

After simplifying:

8C4 = (8 * 7 * 6 * 5) / (4 * 3 * 2 * 1)
= 70

Therefore, there are 70 ways to choose four letters from the word RANDOMLY.

To determine the number of ways to choose four letters from the word RANDOMLY, we can use the concept of combinations.

First, we need to find the number of ways to choose four distinct letters from the seven letters in RANDOMLY. This can be represented as selecting four items from a set of seven, which can be calculated using the formula for combinations:

nCr = n! / (r!(n-r)!)

Where n is the total number of items in the set (7 in this case) and r is the number of items to be chosen (4 in this case).

Plugging in the values, we have:

7C4 = 7! / (4!(7-4)!)
= 7! / (4!3!)
= (7 * 6 * 5 * 4!) / (4! * 3 * 2 * 1)
= (7 * 6 * 5) / (3 * 2 * 1)
= 35

Therefore, there are 35 different ways to choose four letters from the word RANDOMLY.

I assume that the order chosen matters.

There are 8P4 = 1680 ways to do it.