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ElenaW [278]
3 years ago
8

How many numbers can you get by multiplying two or more distinct members of the set

%2C2%2C3%2C5%2C11%5C%7D%24" id="TexFormula1" title="$\{1,2,3,5,11\}$" alt="$\{1,2,3,5,11\}$" align="absmiddle" class="latex-formula"> together?
Mathematics
1 answer:
alexandr1967 [171]3 years ago
3 0

Answer:

26

Step-by-step explanation:

Data provided in the question:

set {1, 2, 3, 5, 11}

Now,

Total number of different choices of a number available = 5

Therefore,

Number of ways to choose 2 distinct numbers=  ⁵C₂

Number of ways to choose 3 distinct numbers=  ⁵C₃

Number of ways to choose 4 distinct numbers=  ⁵C₄

Number of ways to choose 5 distinct numbers=  ⁵C₅

therefore,

Total number we can get

= ⁵C₂ + ⁵C₃ + ⁵C₄ + ⁵C₅

= \frac{5!}{2!(5-2)!}+\frac{5!}{3!(5-3)!}+\frac{5!}{4!(5-4)!}+\frac{5!}{5!(5-5)!}

=  \frac{5\times4\times3!}{2!3!}+\frac{5\times4\times3!}{3!\times2!}+\frac{5\times4!}{4!\times1!}+\frac{5!}{5!\times0!}

= 10 + 10 + 5 + 1

= 26

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Answer: The approximate difference in the ages of the two cars is 2 years

Step-by-step explanation:

Now, since the first car (Car A) depreciates annually at a rate of 10% and is currently worth 60% or 40% less than its original value, we can calculate the number of years it took the car to depreciate to just 60% of its original worth:

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So, if the car depreciates by 10% every year from the year it was worth 100% of it's original value, it will take 6 years for the car to now worth just 60%

In the same manner, if the second car (Car B) is depreciating at an annual rate of 15% and is likewise currently worth just 60% or 40% less than its original value, we can calculate the number of years it will take the car to depreciate to 60% of its original worth.

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Therefore, if the 2 cars are currently worth just 60% of their original values (recall that it took the first car 6 years and the second car 4 years to depreciate to their current values), the approximate difference in the ages of the two cars assuming they both started depreciating immediately after the years of their respective manufacture is:

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Peter is 2 years older than Winnie. Peter's age is 16 years less than seven times Winnie's age. The equations below model the re
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Step-by-step explanation:

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So, 10^{999} * 5^{-998} * 2^{-997]

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