The symbol ₁₂P₉ represents the permutations of 9 quantities out of 12.
By definition,
$_{12}P_{9} = \frac{12!}{(12-9)!} = \frac{12!}{3!}$

From the calculator,
12! = 479,001,600
3! = 6

Therefore
₁₂P₉ = 479001600/6 = 79,833,600

Answer: 79,833,600

8 0

4 years ago

Please help solve, Thank you. - Which expression is equivalent to t + 4 +3 - 2t?

OverLord2011 [107]

<h3>Answer: Choice B) -t+7</h3>

Explanation

The like terms are ones that have the same variable in them, or that dont have a variable at all attached. One pair of like terms is t and -2t, which combine to t+(-2t) = t-2t = -t

The other pair of like terms are 4 and 3 which add to 7

So t+4+3-2t simplifies fully to -t+7, which is the same as 7+(-t) = 7-t

We cannot simplify any further from here as the 7 and -t are not like terms.

6 0

3 years ago