In a lottery daily game, a player picks four numbers from 0 to 9 (without repetition). how many different choices does the player have

a) if order matters?

b) if order does not matter?

If order matters choices the player has is .

A)Apply permutation without repetition when order matters

where

B) Apply combination without repetition when order doesn't matters

.

Choice does the player has if order does not matter is .

Learn more about permutation and combination here ,

link

a) If order matters, choices the player have = 5040

b) If order does not matter, choices the player have = 210

Step-by-step explanation:

n = 10, r = 4

When the order matters, its permutation.

permutation without repetition = P(n, r) =  

=

=

= 5040

When the order doesn't matter, its combination.

combination without repetition= C(n, r) =

=

=

= 210