To find the number of different combinations of shows Gabe can choose to watch, we can use the formula for combinations.
The number of combinations of n objects taken r at a time is given by nCr = n! / (r!(n-r)!), where ! denotes factorial.
In this case, Gabe wants to watch 4 shows out of 6, so n = 6 (the number of shows) and r = 4 (the number of shows he wants to watch).
Plugging in the values, we have 6C4 = 6! / (4!(6-4)!) = 6! / (4!2!) = (6 * 5 * 4 * 3!) / (4 * 3!) = (6 * 5) / 2 = 30.
Therefore, there are 30 different combinations of shows that Gabe can choose to watch.
So the answer is b. 30.
There are 6 television shows coming on this week that Gabe wants to watch. They all come on at different times, but his mom will only let him watch 4 shows a week. How many different combinations of shows can Gabe choose to watch?
a. 15
b. 30
c. 45
d. 60
1 answer