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n200080 [17]
3 years ago
12

Identify the area famous for its 29 active volcanoes

Mathematics
1 answer:
satela [25.4K]3 years ago
8 0
Kamchatka Peninsula was known for having 29 active volcanoes and it lies at the eastern edge of the russian far east. Kamchatka Peninsula lies between the Sea of Okhotsk to the west and Pacific Ocean to the east and it was a1,250-kilometer-long penisula in the Russian Far East. So, the answer in this question is Kamchatka Peninsula.
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The manager of a baseball team has 15 players to choose from for his 9 person batting order
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Given the question:
The manager of a baseball team has 15 players to choose from for his 9-person batting order. How many different ways can he arrange the players in the lineup?
5,005    362,880    3,603,600    1,816,214,400

The number of was in which a smaller group is choosing from a bigger group is given by the bigger number combination the smaller number.
^nC_r= \frac{n!}{(n-r)!r!}
Here, we want to choose a 9-person batting order from a team of 15 players. This is given by:
^{15}C_9= \frac{15!}{(15-9)!9!}=\frac{15\times14\times13\times12\times11\times10\times9!}{6!\times9!}= \frac{3,603,600}{720} =5,005

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