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Svetllana [295]
3 years ago
5

3) Six teams are playing in a baseball tournament. In how many ways can the teams be crowned champion and

Mathematics
1 answer:
Delvig [45]3 years ago
4 0

Answer:

15ways

Step-by-step explanation:

This question bothers combination

Combination has to do with selection

Given

Total number of teams  = 6

champion and runner up = 2

number of ways is expressed as 6C2

6C2 = 6!/(6-2)!2!

6C2 = 6!/4!2!

6C2 = 6*5*4!/4!*2

6c2 = 30/2

6C2 = 15

Hence the number of ways they can be selected is 15ways

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Find the difference between the terms a10 of an arithmetic sequence and a geometric sequence, both of which
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Answer:-288

Step-by-step explanation:

Given

First term a_0  is common for both AP and GP

For AP

a_2=4=a_0+2d---1

a_4=12=a_0+4d----2

From 1 & 2 we get

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a_{10}=a_0+10d=-4+10\times 4=36

For GP

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From 3 & 4 we get

3=r^2

r=\sqrt{3}

a_0=\frac{4}{3}

For a_{10}=\frac{4}{3}\times 3^5=324

AP_{a_{10}}-GP_{a_{10}}=36-324=-288

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