Question

Simplify the expression 4P2

Answer 1

Answer:

8P

Step-by-step explanation:

Combine like terms:

(4)(P)(2)

Simplify:

4 x 2 = 8

8P is your answer.

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Answer 2

Answer: 12

Step-by-step explanation:

We know that the number of permutations of n objects taken r at a time is given by :

$^nP_r=\dfrac{n!}{(n-r)!}$

The given expression : $^4P_2$

Then it implies the number of permutations of 4 objects taken 2 at a time is given by :

$^4P_2=\dfrac{4!}{(4-2)!}\\\\\Rightarrow\ ^4P_2=\dfrac{4\times3\times2!}{2!}\\\\\Rightarrow\ ^4P_2=4\times3=12$