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Find the number of ways in which 4 cards...

Find the number of ways in which 4 cards can be selected from a pack of 52 cards. In how many ways
(i) all 4 cards are from one suit?
(ii) all 4 cards are from different suits?
(iii) all 4 cards are face cards?
(iv) two cards are red and 2 cards are black?
(v) all 4 cards are of same colour?

Text Solution

AI Generated Solution

To solve the problem of selecting 4 cards from a pack of 52 cards, we will break it down into the specified parts. ### Total Ways to Select 4 Cards from 52 Cards The total number of ways to select 4 cards from a pack of 52 cards can be calculated using the combination formula: \[ \text{Number of ways} = \binom{n}{r} = \frac{n!}{r!(n-r)!} ...
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