Question

If 2 objects are chosen without replacement from 4 objects, how many ways can this selection occur?

a) 6 ways
b) 8 ways
c) 12 ways
d) 16 ways

Answer 1

The number of ways 2 objects can be chosen without replacement from 4 objects is 6.

Step-by-step explanation:

When 2 objects are chosen without replacement from 4 objects, the number of ways this selection can occur is given by the formula for combinations:

C(n, r) = n! / (r! * (n-r)!)

Plugging in the values, we have C(4, 2) = 4! / (2! * (4-2)!) = 4! / (2! * 2!) = 24 / (2 * 2) = 6.

Therefore, there are 6 ways this selection can occur, so the correct answer is a) 6 ways.