Question

True or false? nPk is always less than or equal to nCk.

A. True
B. False

Answer 1

Hint: n C k = (n P k)/(k!)

Answer 2

so its true

Answer 3

let's do an example

Answer 4

Let n = 5 and k = 3

n P k

5 P 3

(5!)/(5-3)!

(5!)/(2!)

120/2

60

So 5 P 3 = 60

--------------------------

n C k

5 C 3

(5 P 3)/(3!)

60/6

10


So 5 C 3 = 10


So we can see that 5 C 3 is less than 5 P 3

Answer 5

so its true

Answer 6

false. jim_thompson5910 already showed that 5c3 is less than 5p3.

Answer 7

ok so false
gotit