Answer:
Given equation have two solutions.
x =
Right option is (D)
Step-by-step explanation:
We have given,
we can rewrite this equation in the form given as:
6x² + 40 + 31x = 0
or 6x² + 31x + 40 = 0
On solving this quadratic equation, we get :
x =
That means, given equation have two solutions.
Right option is (D)
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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