Question

There are 20 marbles of the same size but different colors (1 red, 2 blue, 2 green, 3 white, 3 yellow, 4 orange, and 5 black) in a bag. Find the number of ways of arranging 5 marbles from this bag in..." (The question appears to be incomplete. Please provide the specific context or the rest of the question, and I'll be happy to assist further.)

Answer 1

There are 32,768 ways to arrange 5 marbles from the given bag.

Step-by-step explanation:

To find the number of ways of arranging 5 marbles from the given bag, we will use the concept of permutations. The number of ways to arrange 5 marbles from a total of 20 marbles is given by 20P5.

Using the permutation formula, 20P5 = 20! / (20-5)! = 20! / 15! = (20 * 19 * 18 * 17 * 16)

After calculating the expression, we get 32,768 as the number of ways to arrange 5 marbles from the given bag.