Question

the expression P (4,3) is equal to:
A.3!
B.4!
C.1

Answer 1

P(n,r)=n!/(n-r)!
P(4,3)=4!/(4-3)!
P(4,3)=1*2*3*4/1=24

Answer 2

Answer:  The required value is P(4, 3) = 24.

Step-by-step explanation:  We are given to find the value of the following permutation:

P(4, 3).

We know that

the formula for permutation of n elements taking r at a time (r is less than or equal to n) is given by

$P(n, r)=\dfrac{n!}{(n-r)!}.$

Given that

n = 4  and  r = 3.

Therefore, we get

$P(4,3)=\dfrac{4!}{(4-3)!}=\dfrac{4!}{1!}=\dfrac{4\times3\times2\times1}{1}=24.$

Thus, the required value is

P(4, 3) = 24.