Use Grade 12 Data Management Beginner From a full deck of cards:a)b)c)how many different possible 5-cards hands are there?In how many ways could we deal a face card or a black card?In how many ways could we deal a spade or a card that is less than 7 but more than 2?In how many ways could we deal a king oh clubs and any two in this order?In how many ways could we deal four consecutive aces?How many different numbers could we produce from the digits: 0, 3, 3, 3, 4, 4, 5, if:a)There were no restrictions?The numbers are less than 3000000?Less than 5000000?The numbers must be greater than 5000000?The numbers are even?

Answered: From a full deck of cards: a) b) c) how…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Use Grade 12 Data Management Beginner

From a full deck of cards:
a)
b)
c)
how many different possible 5-cards hands are there?
In how many ways could we deal a face card or a black card?
In how many ways could we deal a spade or a card that is less than 7 but more than 2?
In how many ways could we deal a king oh clubs and any two in this order?
In how many ways could we deal four consecutive aces?
How many different numbers could we produce from the digits: 0, 3, 3, 3, 4, 4, 5, if:
a)
There were no restrictions?
The numbers are less than 3000000?
Less than 5000000?
The numbers must be greater than 5000000?
The numbers are even?

Expert Solution

Step 1: Part (a) of first question:

Since you have posted multiple questions with multiple sub parts, we will provide the solution only to the first three sub parts of the first question as per Q&A guidelines. Please repost the remaining question by specifying the sub parts need to be answered.

Part (a): Different possible 5-cards hands,

There are total of 52 cards available in a full deck of cards.

Therefore,

selecting 5 of those cards and their combinations can be represented by,

$C presuperscript 52 subscript 5 space equals space fraction numerator 52 factorial over denominator 5 factorial 47 factorial end fraction space equals space 2 comma 598 comma 960$

These are the number of different possible 5-cards in a full deck of cards.