Question 4 of 6
1 answer:
The division law of exponents says that if b is a nonzero number and n and m are any numbers, then b^n/b^m=b^m-n so, the statement shown is false.
<h3>What are exponents?</h3>The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.
For this case we have the following expression:
We have to:
b = number other than zero
m, n = any number
By properties of exponents we have:
Therefore, we have that the statement shown is false.
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There are 120 ways in which 5 riders and 5 horses can be arranged.
We have,
5 riders and 5 horses,
Now,
We know that,
Now,
Using the arrangement formula of Permutation,
i.e.
The total number of ways ,
So,
For n = 5,
And,
r = 5
As we have,
n = r,
So,
Now,
Using the above-mentioned formula of arrangement,
i.e.
The total number of ways ,
Now,
Substituting values,
We get,
We get,
The total number of ways of arrangement = 5! = 5 × 4 × 3 × 2 × 1 = 120,
So,
There are 120 ways to arrange horses for riders.
Hence we can say that there are 120 ways in which 5 riders and 5 horses can be arranged.
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