❓ Submitted Question: Write a real life situation or example in which permutation and combination is applicable.(1 situation) then give an explanation/solution of your solution​

🧠Answer:

One real-life situation where permutations and combinations are applicable is in the game of poker.

In poker, players are dealt a certain number of cards from a deck of 52 cards. The order in which the cards are dealt and the number of cards dealt can affect the likelihood of certain hands being formed. For example, the probability of being dealt a royal flush (10, J, Q, K, A of the same suit) is a combination of the total number of possible combinations of 5 cards out of 52 cards.

To calculate the probability of being dealt a royal flush, we use the formula for combinations:

Number of combinations = nCr = n! / r!(n-r)!

Where n is the total number of objects (52 cards) and r is the number of objects selected (5 cards for a poker hand).

So the number of combinations of 5 cards out of 52 cards is:

52C5 = 52! / (5! * (52-5)!) = 2,598,960

Out of these possible combinations, there are only 4 ways to form a royal flush, since there are only 4 suits in a deck of cards. Therefore, the probability of being dealt a royal flush is:

4/2,598,960 = 0.000154%

So the probability of being dealt a royal flush is very low, which makes it a rare and valuable hand in the game of poker.

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