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The symbol ₁₂P₉ represents the permutations of 9 quantities out of 12.
By definition,
From the calculator,
12! = 479,001,600
3! = 6
Therefore
₁₂P₉ = 479001600/6 = 79,833,600
Answer: 79,833,600
By definition,
From the calculator,
12! = 479,001,600
3! = 6
Therefore
₁₂P₉ = 479001600/6 = 79,833,600
Answer: 79,833,600
= 2a - 1
2() = 2(2a - 1) <em>multiplied both sides by 2 </em>
ab = 4a - 2 <em>distributed the 2 on the right side</em>
ab - 4a = -2 <em>subtracted 4a from both sides</em>
a(b - 4) = -2 factored out "a" from the left side
a = <em>divided (b - 4) on both sides</em>
Answer: a =
the sine function is a many-to-one function and therefore has no inverse function.
However if the domain is restricted to -90° ≤ x ≤ 90°
Then the function is one-to-one for this domain
Thus, x is defined as the angle such that - π/2 ≤ x ≤ π/2
5π/6 is therefore outwith the domain