Question

Simplify the expression 4P2

Answer 1

Answer: 12

Explanation:

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

`^nP_r=(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=(4!)/((4-2)!)\\\\\Rightarrow\ ^4P_2=(4*3*2!)/(2!)\\\\\Rightarrow\ ^4P_2=4*3=12`

Answer 2

8P

Explanation:

Combine like terms:

(4)(P)(2)

Simplify:

4 x 2 = 8

8P is your answer.

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