Question 1160638: The top 10 names for boys in America in the 1880s were John, William, Charles, George, James, Frank, Joseph, Harry, Henry, and Edward. The top 10 names for boys in the 1980s were Michael, Christopher, Matthew, Joshua, David, Daniel, James, John, Robert, and Brian. In how many ways can you choose 5 names from these lists?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52770)   (Show Source):
Answer by greenestamps(13198)  (Show Source):
You can put this solution on YOUR website!
The names are NOT all different....
On the other hand, the statement of the problem is unclear as to whether we can choose, among our 5 names, James and/or John twice -- once from each list.
So perhaps 20C5 is the right answer....
If we can't pick a name twice that is in both lists, then there are 18 different names to choose from, so the number of ways to make the choices would be 18C5.
The problem is a very simple straightforward application of the basic concept of "n choose r".
It's unfortunate that the problem wasn't stated as simply (clearly)....
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