While organizing a film festival, you must decide which of the 12 movies will be shown on the big screen. you only have the budget to show 5 movies on this screen, and you want to be able to tell moviegoers which order the films will be shown. in how many different ways can you show 5 of the 12 movies on the big screen?

792

Step-by-step explanation:

We know that the formula for the number of combinations of n things taken r at a time is given by :-

Now, the number of combinations of 12 things taken 5 at a time is given by :-

Hence, the number of different ways can you show 5 of the 12 movies on the big screen = 792

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step-by-step explanation:

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10