There are total 8 cards, which are multiples of 5 i.e. 4 cards of 5 and 4 cards of 10 . There are total 16 cards of prime number i.e. 4 cards each of 2,3,5 and 7 . Case I When 5 number cards are selected from multiple of 5 . Number of ways of selecting the card =4C1×15C1 =4×15=60 Case II When 10 number cards are selected from multiple of 5 , number of ways of selecting the card =4C1×16C1 ∴P( card having prime number and a card having a number which is multiple of 5 ) =