What is the number of ways of choosing 4 cards from a pack of 52 playing cards? In how many of these(i)         four cards are of the same suit,(ii)        four cards belong to four different suits,(iii)       are face cards,(iv)       two are red cards and two are black cards,(v)        cards are of the same colour?

Explanation

To solve the problem step by step, we will break down the calculations for each part of the question.

### Step 1: Total Ways to Choose 4 Cards from 52 Cards

To find the total number of ways to choose 4 cards from a deck of 52 playing cards, we use the combination formula:

\[
\text{Number of ways} = \binom{n}{r} = \frac{n!}{r!(n-r)!}
...