The permutation equation is true for all integers n ≥ 3
<h3>How to prove the equation?</h3>
We have:
Apply the following permutation formula
So, we have:
Evaluate the difference
Expand
Multiply through by (n - 3)!
Expand
Divide through by n!
Take the LCM
Evaluate the like terms
Both sides of the equations are the same.
Hence, the permutation equation is true for all integers n ≥ 3
Read more about permutation at:
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I suppose it is the fourth one I'm sorry if I'm wrong
Answer:
1
9
3 red
2 blue
5 green
Total
3
+
2
+
5
=
10
Probability of blue is
2
10
~~~~~~~~~~~~~~~~~~~~~~~
Second condition:
3 red
1 blue
5 green
New total
3
+
1
+
5
=
9
Probability of green is
5
9
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Total probability of selecting this path is:
2
10
×
5
9
=
2
9
×
5
10
=
2
9
×
1
2
=
1
9
Answer;
love
Step-by-step explanation: