To determine the number of ways the farmer can choose his desired animals, we need to find the number of possible combinations for each type of animal.
For the cows:
The farmer can choose 3 out of the 6 cows. This can be calculated using the combination formula C(n, r), where n is the total number of cows and r is the number of cows the farmer wants to choose:
C(6, 3) = 6! / (3! * (6-3)!) = 20
For the goats:
The farmer can choose 2 out of the 5 goats:
C(5, 2) = 5! / (2! * (5-2)!) = 10
For the hens:
The farmer can choose 4 out of the 8 hens:
C(8, 4) = 8! / (4! * (8-4)!) = 70
To calculate the total number of ways the farmer can choose his desired animals, we need to multiply the number of combinations for each type of animal:
20 * 10 * 70 = 14,000
Therefore, there are 14,000 ways the farmer can choose his desired animals.
A farmer buys 3 cows, 2 goats, and 4 hens from a man who has 6 cows, 5 goats, and 8 hens.
How many ways the farmer choose his desired animals?
1 answer
8 answers