Answer:
21 is your answer
Explanation:
The combination formula is used to calculate the number of ways to choose r items from a set of n items without regard to order. The formula is:
C(n,r) = n! / (r! * (n-r)!)
where n is the total number of items and r is the number of items to be chosen.
Using this formula, we can solve the problem when n = 7 and r = 5 as follows:
C(7,5) = 7! / (5! * (7-5)!)
= (7 x 6 x 5 x 4 x 3 x 2 x 1) / [(5 x 4 x 3 x 2 x 1) x (2 x 1)]
= (7 x 6) / (2 x 1)
= 21
Therefore, there are 21 ways to choose 5 items from a set of 7 items without regard to order.