Question
Download Solution PDFWhat is the number of different messages that can be represented by three 0’s and two 1’s?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Suppose a set of n objects has n1 of one kind of object, n2 of a second kind, n3 of a third kind, and so on with n = n1 + n2 + n3 +...+ nk then the number of distinguishable permutations of the n objects is =
Calculation:
Given: Three 0’s and two 1’s
|
0 |
0 |
0 |
1 |
1 |
Total number = 3 + 2 = 5
In the set of 5 number has 3 number of one kind and 2 number of the second kind.
Therefore, Number of different messages that can be represented by three 0's and two 1's =
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