Shaun is picking out some movies to rent, and he is primarily interested in documentaries and mysteries. He has narrowed down his selections to 12 documentaries and 19 mysteries. Step 2 of 2 : How many different combinations of 4 movies can he rent if he wants at least one documentary?

The total number of combinations in which the movies can be rented such that there is at least one documentary is 27589.

Step-by-step explanation:

The total movies are given as 19 mysteries +12 documentaries=19+12=31

Now the number of total combinations such that 4 movies are rented is given as

Now the number of total combinations with no documentary is given as

So the number of combination such that at least one movie is documentary is given as

=Total Combinations-Combinations with no documentary

=31465-3876

=27589

So the total number of combinations in which the movies can be rented such that there is at least one documentary is 27589.

a = 11 : 4

b = 38

c = 1 for every 6

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.