Question

Evaluate the permutation. 6 P 2

Answer 1

Answer:

$P(6,2)=30$

Step-by-step explanation:

We are asked to evaluate the permutation $_{2}^{6}\textrm{P}$.

We will use permutations formula to solve our given problem.

$P(n,r)=\frac{n!}{(n-r)!}$, where,

n = Total number of items,

r = Number of items taken at a time.

Upon substituting our given values we will get,

$P(6,2)=\frac{6!}{(6-2)!}$

$P(6,2)=\frac{6!}{4!}$

$P(6,2)=\frac{6*5*4!}{4!}$

$P(6,2)=6*5$

$P(6,2)=30$

Therefore, the answer would be 30.

Answer 2

$\bf _nP_r=\cfrac{n!}{(n-r)!}\qquad \qquad \qquad _6P_2=\cfrac{6!}{(6-2)!}$