Question

Joey wishes to contribute three items to a gift box. He aims to pick from seven particular items. Find the number of ways he can select the three items from these seven items.

a. 45
b. 220
c. 35
d. 210

Answer 1

The number of ways Joey can select three items from seven particular items is 35.

Step-by-step explanation:

To find the number of ways Joey can select three items from seven particular items, we can use the combination formula. The formula for combinations is nCr = n! / (r! * (n-r)!), where n is the total number of items and r is the number of items to be selected. In this case, we have n = 7 and r = 3. Plugging these values into the formula, we get:

nCr = 7! / (3! * (7-3)!) = 35

Therefore, the correct answer is 35, which is option c.