If B can only select 2 items from a set of 4, how many different selections can

₹0.0

Question: If B can only select 2 items from a set of 4, how many different selections can B make?

Options:

Correct Answer: 6

Solution:

The number of selections is given by C(4,2) = 6.

If B can only select 2 items from a set of 4, how many different selections can B make?

If B can only select 2 items from a set of 4, how many different selections can B make?

Step 1: Understand that B has 4 items to choose from.
Step 2: B needs to select 2 items from these 4 items.
Step 3: The formula to find the number of ways to choose items is called 'combinations' and is written as C(n, k), where n is the total number of items and k is the number of items to choose.
Step 4: In this case, n is 4 (the total items) and k is 2 (the items to select).
Step 5: Use the combinations formula: C(4, 2) = 4! / (2! * (4-2)!)
Step 6: Calculate the factorials: 4! = 4 x 3 x 2 x 1 = 24, 2! = 2 x 1 = 2, and (4-2)! = 2! = 2.
Step 7: Plug the values into the formula: C(4, 2) = 24 / (2 * 2) = 24 / 4 = 6.
Step 8: Therefore, B can make 6 different selections.

Combinations – The concept of selecting items from a larger set where the order does not matter, calculated using the combination formula C(n, r) = n! / (r!(n-r)!)