shiannethorn
20.09.2020 •
Mathematics
Three different ticket collectors announced the number of people who attended a hockey game. Each ticket collector correctly rounded the actual attendance to a different place value.
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Ответ:
For each of those ...
The second chair can be any one of the remaining 14.
For each of those ...
The third chair can be any one of the remaining 13.
For each of those ...
The fourth chair can be any one of the remaining 12.
Number of ways to fill the 4 chairs = (15 x 14 x 13 x 12) = 32,760 .
But ...
Each set of 4 people can be seated in (4 x 3 x 2 x 1) = 24 orders.
So each group of 4 people is represented 24 times among the 32,760.
If the order doesn't matter, you're really asking how many different
groups of 4 people can occupy the front row.
That's (32,760) / (24) = 1,365 sets of 4 members, in any order.