Correct Answer - Option 3 : 286
Concept:
The number of ways to select r things out of n given things wherein r ≤ n is given by: \({\;^n}{C_r} = \frac{{n!}}{{r!\; \times\; \left( {n - r} \right)!}}\)
Calculation:
Choosing face cards of CLUB from a pack of 52 playing cards
In a deck of playing cards there are 13 cards of CLUBS
There are 13 CLUBS cards selecting 3 cards out of these by 13C3 = \(\rm \frac{13!}{3!\;×\;10!} = \frac {13\; \times\; 12\; \times\; 11}{3\; \times\; 2}\) = 286
