Free Practice Question
PS · Problem Solving
705-805
Combinations
In how many ways 5 different chocolates be distributed to 4 children such that any child can get any number of chocolates?
Answer Choices
Correct answer marked belowA
20
B
24
C
120
D
625
1024
Correct
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Explanation
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Official Explanation
Official
Let the 5 chocolates be: , , , &
And there be 4 children: , , &
Now, the first chocolate can be given in 4 ways (either to or or or )
The second chocolate can be given in 4 ways (either to or or or )
The third chocolate can be given in 4 ways (either to or or or )…
And there be 4 children: , , &
Now, the first chocolate can be given in 4 ways (either to or or or )
The second chocolate can be given in 4 ways (either to or or or )
The third chocolate can be given in 4 ways (either to or or or )…
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What it tests
Whether you can count arrangements and selections correctly — permutations vs. combinations.
Common trap
Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.
Details
Difficulty
705-805
Type
PS
Category