What is the probability of getting a club in the next 6 'choose'?

Question

6 playing cards were choosen randomly from the pack getting 2 spades, a heart and 3 clubs. What is the probability of getting a club in the next 6 'choose'?

Answer 1

Remaining spade in the dack: 13 - 2 = 11
Remaining cards in the dack: 52 - 6 = 46

Getting spade in a draw means only one spade followed by five non spade + one nonspade and one spade and 4 non spade .... = 6*11/46*35/45*34/44*33/43*32/42*31/41
=> 6*11*35*34*33*32*31/46*45*44*43*42*41
=> .38