Question

Part 2: How many combinations are there 1. Determine the value of 12C5 using the combinations function of the calculator.

Answer 1

Explanation:

792

Answer 2

The following expression

`_(12)C_5`

denotes the number of different combinations of 5 objects from a set of 12 elements and is computed as:

`_(12)C_5=(12!)/(5!(12-5)!)`

where the exclamation mark denotes the factorial. So, we get

`_(12)C_5=(12!)/(5!(12-5)!)=(12*11*10*9*8*7*6*5*4*3*2*1)/(5*4*3*2*7!)`

which gives

`_(12)C_5=(12!)/(5!(12-5)!)=(12*11*10*9*8*7*6*5*4*3*2*1)/(5*4*3*2*7!)=792`

Therefore, the answer is: 792