6 permute 6
=720 ways :))
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i am doing this same question for a stats midterm and i am thinking that it is chronological, numerical, aplhabetical (order of items) and by date
9x8x7x6 = 3024.
It is a term from computer databases. A relational database can have a one-to-many relationship in its data. For example, if you have a customer order database, one table will contain customer names and another will contain their orders. Each customer will only be listed once, but each customer can make many orders. So one customer can be related to many orders. Incorporating that into a database requires the creation of a one to many relationship.
The cubes can be arranged in a line in 24 orders, and each cube can be arranged in 24 orientations so the answer is 24*24 = 576 ways. Of course, the question does not require then to be in a line so there are really infinitely many ways: for example one cube in your house, one in your garden, one in my house and one in my garden. Move one of them a bit and that's a different arrangement.
First work out the probability of the first two coins being heads and then the last being tails. This is 1/2 x 1/2 x 1/2 which is 1/8 The next step is to find out how many different orders the coins can come in. In this case there are 3 possible orders (HHT, HTH, and THH). Multiply this by the above probability and you get 3/8. Therefore the probability of getting two heads and one tail is 3/8