Question

Vanessa is packing her bags for vacation she has 5 unique action figures but only 3 fit in her bag how many different groups of 3 action figures can she take

Answer 1

To find the number of different groups of 3 action figures Vanessa can take, use the combination formula C(n, r) = n! / (r!(n-r)!) where n is the total number of items and r is the number of items to select. Plugging in the values, we find that Vanessa can take 10 different groups of 3 action figures.

Step-by-step explanation:

To find the number of different groups of 3 action figures Vanessa can take, we can use the combination formula. The combination formula is given by C(n, r) = n! / (r!(n-r)!), where n is the total number of items and r is the number of items to select.

In this case, n is 5 (the total number of action figures) and r is 3 (the number of action figures that can fit in her bag). Plugging these values into the formula, we get C(5, 3) = 5! / (3!(5-3)!) = 5! / (3!2!) = (5 * 4 * 3!) / (3!2!) = (5 * 4) / 2 = 10.

Therefore, Vanessa can take 10 different groups of 3 action figures.