Respuesta :
Answer:
Total number of ways = 6*5 = 30
Step-by-step explanation:
We want to select two digits from the digits 1, 2, 3, 4, 5, and 6. (without replacement)
For the selection of 1st digit we have 6 choices so
n₁ = 6
For the selection of 2nd digit we have 5 choices since replacement is not allowed so
n₂ = 5
Therefore, the total number of ways are
Total number of ways = n₁*n₂
Total number of ways = 6*5
Total number of ways = 30
Note: here we are not considering the order which means (1,2) and (2,1) are considered different numbers.
The number of elements in the sample space when the counting principle is applied should be 30.
Calculation of the number of elements:
Since
The Two digits are selected without replacement from the digits 1, 2, 3, 4, 5, and 6.
So,
n₁ = 6
And,
n₂ = 5
Now
Total number of ways = n₁*n₂
= 6*5
= 30
Hence, The number of elements in the sample space when the counting principle is applied should be 30.
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