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
Answer:
Step-by-step explanation:
The only radical that matches the equivalent answer is the fifth one down. We can easily eliminate the radicals without exponents on the outside, since we know they won't create leftover fractions. So that leaves us with the second, fourth and fifth answers to contemplate.
Let's look at and
first. It's good to know that these are equivalent radicals. The numbers are the same, and they will produce the same answers.
When you do the math, the exponent rule gives us fractions of for exponents, and eventually, a
for both answers. So these are eliminated.
Now, for , we can easiy simplify by changing the 7th root to a fraction in our exponent. Use the rule:
And we can see the answer we're looking for! If you use this method to look at the other problems, you'll see that this is the only radical that simplifies to the required answer.