Concept explainers
To calculate: The number of ways to select three cards from a deck of 52 cards.
Answer to Problem 9WE
The number of ways toselect three cardsare
Explanation of Solution
Given information:
Three cards are drawn one after the other from a deck of 52 cards without replacement.
Formula used:
Fundamental counting principle states that if there are m ways to make a selection and n ways to make a second selection then there are
Calculation:
Consider the provided information that three cards are drawn one after the other from a deck of 52 cards without replacement.
Let three cards are
To select the first card, there are 52 ways
Now since one card is out of the deck of cards. Remaining are 51 cards.
To select the second card, there are 51ways
Now since two cards are out of the deck of cards. Remaining are 50 cards.
To select the third card, there are 50ways
Recall that Fundamental counting principle states that if there are m ways to make a selection and n ways to make a second selection then there are
Therefore, the number of ways to select are,
Thus, the number of ways to select three cards without replacementare
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Algebra and Trigonometry: Structure and Method, Book 2
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