A group of campers is going to occupy 3 campsites at a campground. There are 17 campsites from which to choose. In how many ways
1 answer:
Answer:
Campsites be chosen in 680 ways.
Step-by-step explanation:
Given:
Number of campsites= 17
Number of campsites that are to be occupied=3
To Find:
Number of ways can the campsites be chosen=?
Solution:
Combination:
In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter. Suppose we have a set of three numbers P, Q and R. Then in how many ways we can select two numbers from each set, is defined by combination.
nCr = n(n - 1)(n - 2) ... (n - r + 1)/r! = n! / r!(n - r)!
No of ways in which campsites can be chosen= 17C3
=>
=>
=>
=>680
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Step-by-step explanation:
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Answer:
a)
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b)
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Step-by-step explanation:
Previous concepts
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Part a
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Where and
We are interested on this probability
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If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or excel and we got:
Part b
And we can find this probability using the complement rule, the normal standard table or excel and we got:
Part c
And we can find this probability with this difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.