5C3 or 5 choose 3 refers to how many combinations are possible from 5 items, taken 3 at a time. What is a combination? Just the number of ways you can choose items from a list.
What does choose 2 mean?
In short, it is the number of ways to choose two elements out of n elements. For example, ‘4 choose 2’ is 6. If I have four elements – A, B, C and D – I can select two elements in the following ways – {A, B}, {A, C}, {A, D}, {B, C}, {B, D} and {C, D}.
Now, 7C3 = 7! / (7 – 3)! 3! = 7 x 6 x 5 x 4! / 4! x 3!
What is the value of 5c 2?
C52= 5! / 2!
5C3=5! 3! (5−3)!