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Answer:
The total number of different arrangements is 560.
Step-by-step explanation:
A multiset is a collection of objects, just like a set, but can contain an object more than once.
The multiplicity of a particular type of object is the number of times objects of that type appear in a multiset.
Permutations of Multisets Theorem.
The number of ordered n-tuples (or permutations with repetition) on a collection or multiset of objects, where there are
kinds of objects and object kind 1 occurs with multiplicity
, object kind 2 occurs with multiplicity
, ... , and object kind
occurs with multiplicity
is:
We know that a boy has 3 red, 2 yellow and 3 green marbles. In this case we have n = 8.
If marbles of the same color are indistinguishable, then the total number of different arrangements is
Answer:
Integers: 32,33,34,35
Step-by-step explanation:
Consecutive means back-to-back, with a difference of 1
Therefore this can be represented with the following equation (where x is the first number), and we can set this equal to the sum
Therefore since x = 32, all four integers are:
If we check this, we can see that their sum equals to 134
Hope this helps!