Question

Evaluate the expression.

10 P 4
A. 5040
B. 720
C. 1
D. 10

Answer 1

= 10*9*8*7

Answer 2

=90 * 56

Answer 3

use the formula

\[^{n}P _{k} = \frac{n!}{(n - k)!}\]

n = 10 and k = 4

Answer 4

so 5040

Answer 5

right

Answer 6

i use a 'short cut' to do these but you should know formula

Answer 7

10 P 3 for example = 10*9*8

Answer 8

i understand thank you
so a
11 p 5 is 11*10*9*8*7

Answer 9

yea and also

11 P 8 is same as 11 P 3 (11-8 = 3)
- makes that easier to work out

Answer 10

for combinations where the order doesn't matter you proceed like this

10 C 4

= 10*9*8*7
-------
4*3*2*1

- number of digits on bottom = number on top