Answer:
a) 1820 ways
b) 43680 ways
Step-by-step explanation:
When the order of the choices is relevant we use the permutation formula:
is the number of different permutations of x objects from a set of n elements, given by the following formula.

When the order of choices is not relevant we use the combination formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

In this problem, we have that:

(a) How many ways can this be done, if the order of the choices is not relevant?

(b) How many ways can this be done, if the order of the choices is relevant?

It's A because to remove the radical you do x-2 squared and 7 squared which you will get x-2=49 and then subtract -2 from 49 which gives you 51
Answer:
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above and solve for t
To simplify the equation 3(5 + 2x), the distributive factor must be used, so the number outside the bracket (3), must be distributed (or multiplied) with each of the terms inside the brackets (5 and 2x) and then simplify
<span>3(5 + 2x)
</span>3(5) + 3(2x)
15 + 6x