how do I figure this problem
You have 3 blue and 3 white beads on a circle string. How many different patterns are possible?
3 possible ways
actully 4 ways
If patterns that can be obtained from each other by rotating and flipping over the string are considered the same, then there are only 3 distinct patterns.
To figure out the number of different patterns possible, we can use the concept of permutations.
In this case, we have 6 beads in total (3 blue and 3 white) on a circle string. The order of the beads matters, as different orders will result in different patterns.
To calculate the number of permutations, we can use the formula: n!
where n is the total number of objects. In this case, n = 6.
So, the number of different patterns possible would be: 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720.
Therefore, there are 720 different patterns possible with 3 blue and 3 white beads on a circle string.