In how many ways 12 apples can be distributed among 4 people? Ops: A. 469 B. 457 C. 455 D. 488
Question
In how many ways 12 apples can be distributed among 4 people? Ops: A. 469 B. 457 C. 455 D. 488
Solution
This problem can be solved using the concept of combinations with repetition in combinatorics.
The formula for combinations with repetition is: C(n + r - 1, r), where n is the number of items to choose from (in this case, apples), and r is the number of items to choose (in this case, people).
Step 1: Identify n and r. Here, n = 12 (apples) and r = 4 (people).
Step 2: Plug n and r into the formula. C(12 + 4 - 1, 4) = C(15, 4)
Step 3: Calculate the combination. C(15, 4) = 15! / [4!(15-4)!] = 1365
So, there are 1365 ways to distribute 12 apples among 4 people.
However, none of the options (A. 469, B. 457, C. 455, D. 488) match this answer. There might be a mistake in the question or the provided options.
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