Answer:
Total crackers on the plate are 12
Step-by-step explanation:
Manuel ate crackers =
His brother ate crackers =
Crackers left on the plate = 5
We need to find how many crackers were there on the plate.
Let x be the total crackers on the plate
So, we can write the equation
Because 1/3 and 1/4 crackers are eaten and 5 are left so, we subtract 1/3x and 1/4x from x and equal it to 5
So, we get x = 12
Therefore, total crackers on the plate are 12
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