Evaluate 11P4?

Question

Evaluate 11P4?

1 Answer

Impact of this question

15731 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-01T01:53:55

$= 11 \cdot 10 \cdot 9 \cdot 8$ $=11*10*9*8$ which equals to:
$7920$ $7920$

Explanation:

The formula for permutations is:
$P (n, r) = \frac{n!}{(n - r)}!$ $P(n,r)=(n!)/((n−r))!$ or in this form
$=_{n} P_{r} = \frac{n!}{(n - r)!}$ $=_nP_r=(n!)/((n−r)!)$ . Using the givens we know:
$n = 11$ $n=11$ and $r = 4$ $r=4$ . Inputting values:
$=_{11} P_{4} = \frac{11!}{(11 - 4)!}$ $=_(11)P_4=(11!)/((11−4)!)$ Simplifying:
$=_{11} P_{4} = \frac{11!}{7!}$ $=_(11)P_4=(11!)/(7!)$ Since $7! =7*6*5...$ and $11! =11*10...*7*6*5...$ we can cancel out the factors from 7 on down to get:
$=11*10*9*8$ which equals to:
$7920$
Source (I forgot equation)

Science

Math

Humanities

... and beyond

Evaluate 11P4?

1 Answer

Explanation:

Related questions

Impact of this question