Determine the number of 5 card combination out of a deck of 52 cards if each selection of 5 cards has at least one king.

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

The observation that in a deck of 52 cards we have 4 kings and 48 non kings.

 

Selection of 5 cards having at least one king can be made as follows:

 

1 king and 4 non kings or 2 kings and 3 non kings or 3 kings and 2 non kings or 4 kings and 1 non king. 

 

This can be expressed mathematically as                   

Number of selections: and we will get 1 mark

 

                                            

                           

Answered by  | 4th Jun, 2014, 03:23: PM