In shuffling a pack of 52 playing cards, four are accidently dropped; find the chance that the missing cards should be one from each suit.

Explanation

Number of ways of choosing four cards =` ((52)_(C_4)​)`

Now we have to choose one card of each suit

Number of ways of choosing a card from each suit =
`((13)_(C_1))​×(13)_(C_(1​))×((13)_(C_1))​×((13)_(C_1))​`

∴ required probability
`=(((13)_(C_1))​×(13)_(C_(1​))×((13)_(C_1))​×((13)_(C_1))​)/(((52)_(C_4)​))`