Question

Four cards are drawn from a pack of 52 playing cards. In how many
different ways can this be done? How many selections will contain
(i) Exactly one card of each suit?
(ii) All cards of the same suit?
(iii) All club cards?
(iv) Atleast one club card?
(v) Three kings and one queen?
(vi) Three black and one red cards?

Answer 1

Step-by-step explanation:

No. of ways of choosing 4 cards from 52=

52

C

4

Now,

(a.) (4.)

13

C

4

(b.)

13

C

1

.

13

C

1

.

13

C

1

.

13

C

1

(c.) No. of face cards =12 ∴

12

C

4

(d.) (2) (

26

C

4

)

black + Red

(e.)

26

C

2

.

26

C

2