in english class each student must select 4 of the 5 short stories to read how many different combinations of short stories could you read
5C4 = 5
To find the number of different combinations of short stories that can be read, we can use the combination formula. The combination formula is given by:
C(n, r) = n! / (r! * (n - r)!)
In this case, we have 5 short stories to choose from, and each student must select 4 out of the 5. So, we can substitute n = 5 (total number of short stories) and r = 4 (number of short stories to be selected) into the combination formula.
C(5, 4) = 5! / (4! * (5 - 4)!)
Now, let's calculate the value:
= 5! / (4! * 1!)
= (5 * 4 * 3 * 2 * 1) / ((4 * 3 * 2 * 1) * (1))
= 5
Therefore, there are 5 different combinations of short stories that a student can read.
To find the number of different combinations of short stories a student can read, we can use the formula for combinations.
The formula for combinations is:
C(n, r) = n! / (r! * (n-r)!),
where n is the total number of items to choose from, and r is the number of items to choose.
In this case, we have 5 short stories to choose from, and each student must select 4 of them. So, n = 5 and r = 4.
Plugging the values into the formula, we have:
C(5, 4) = 5! / (4! * (5-4)!),
C(5, 4) = 5! / (4! * 1!),
C(5, 4) = (5 * 4 * 3 * 2 * 1) / (4 * 3 * 2 * 1 * 1),
C(5, 4) = 5.
Therefore, there are 5 different combinations of short stories a student can read.