Sixteen players participated in a tennis tournament. Three players will be awarded for first, second, and third prize. In how ma
1 answer:
Answer:
Total number of ways in which first, second and third prizes will be awarded = 560
Step-by-step explanation:
As given,
There are 16 players participated in a tennis tournament.
and 3 players will be awarded for first, second, and third prize.
As we know,
ⁿCₓ =
n = the number of items.
x = how many items are taken at a time.
As given, n = 16 , x = 3
⇒¹⁶C₃ =
∴ we get
Total number of ways in which first, second and third prizes will be awarded = 560
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Answer:
31
Step-by-step explanation:
The series are given as geometric series because these terms have common ratio and not common difference.
Our common ratio is 2 because:
1*2 = 2
2*2 = 4
The summation formula for geometric series (r ≠ 1) is:
or
You may use either one of these formulas but I’ll use the first formula.
We are also given that n = 5, meaning we are adding up 5 terms in the series, substitute n = 5 in along with r = 2 and first term = 1.
Therefore, the solution is 31.
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Summary
If the sequence has common ratio then the sequence or series is classified as geometric sequence/series.
Common Ratio can be found by either multiplying terms with common ratio to get the exact next sequence which can be expressed as meaning “previous term times ratio = next term” or you can also get the next term to divide with previous term which can be expressed as:
Once knowing which sequence or series is it, apply an appropriate formula for the series. For geometric series, apply the following three formulas:
Above should be applied for series that have common ratio not equal to 1.
Above should be applied for series that have common ratio exactly equal to 1.
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Topics
Sequence & Series — Geometric Series
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Others
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