Respuesta :
Answer:
6 different groups of toy animals
Step-by-step explanation:
In this question, we are to calculate the number of different groups of toy animals Michael can take.
Since we are selecting, this is clearly a COMBINATION question. Now from the question, we are trying to select 5 toy animals from a group of 6 different animals to fit in the bag
The number of ways we can do this is 6C5 ways
Mathematically, if we have to select a number of r items from a group of n items, the number of ways this can be done is;
nCr = n!/(n-r)!r!
Using the case in the question, we have; 6!/5!(6-5)! = 6!/5!1! = 720/120 = 6 groups
Answer:
6 different groups of toy animals
Step-by-step explanation:
The question above can be solved by applying the Combination technique
Combination technique uses the formula:
nCk = n! /k!(n-k)!
Where in the question above:
n = 6
k = 5
Therefore we have , 6C5
= 6! / 5! (6-5)!
= 6!/ 5!(1!)
6! = 6×5×4×3×2×1
5! = 5×4×3×2×1
Hence,
= (6×5×4×3×2×1) / (5×4×3×2×1)(1)
= 6
Hence, Michael can take 6 different groups of toy animals with him on his vacation.
