Question

Find the number of ways of picking two cards from a deck such that one is a face card and other is a diamond.
1. 153
2. 135
3. 144
4. 159
5. None of these

Answer 1

Correct Answer - Option 1 : 153

Concept:-

1. There are 12 face cards in a deck and 13 diamond cards.

Calculation:-

There will be two cases.

1. When face card is of diamond.

Number of ways = ³C₁ × 12C1 = 36

2. When face card is not of diamond.

Number of ways = 9C1 × 13C1 = 117

Hence,

Total ways = 36 + 117 = 153