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From 12 books, the difference between number of ways a selection of 5 books, when One specified book is always excluded and One specified book is always included is How many number? A)64. B)118. C)132. D)330?
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From 12 books, the difference between number of ways a selection of 5 ...
Calculation of the Number of Ways
To find the difference between the number of ways a selection of 5 books can be made when one specified book is always excluded and when one specified book is always included, we need to consider the total number of ways in each scenario.
Scenario 1: One specified book is always excluded
When one specified book is always excluded, we have 11 books to choose from to make a selection of 5 books. The number of ways this selection can be made is given by the combination formula C(11, 5) = 462.
Scenario 2: One specified book is always included
When one specified book is always included, we have 11 books to choose from to make a selection of 4 books (since one book is fixed). The number of ways this selection can be made is given by the combination formula C(11, 4) = 330.
Calculation of the Difference
The difference between the number of ways in the two scenarios is:
330 (Scenario 2) - 462 (Scenario 1) = -132
Therefore, the difference between the number of ways a selection of 5 books can be made when one specified book is always excluded and when one specified book is always included is 132.
Hence, the correct answer is option C) 132.
To find the difference between the number of ways a selection of 5 books can be made when one specified book is always excluded and when one specified book is always included, we need to consider the total number of ways in each scenario.
Scenario 1: One specified book is always excluded
When one specified book is always excluded, we have 11 books to choose from to make a selection of 5 books. The number of ways this selection can be made is given by the combination formula C(11, 5) = 462.
Scenario 2: One specified book is always included
When one specified book is always included, we have 11 books to choose from to make a selection of 4 books (since one book is fixed). The number of ways this selection can be made is given by the combination formula C(11, 4) = 330.
Calculation of the Difference
The difference between the number of ways in the two scenarios is:
330 (Scenario 2) - 462 (Scenario 1) = -132
Therefore, the difference between the number of ways a selection of 5 books can be made when one specified book is always excluded and when one specified book is always included is 132.
Hence, the correct answer is option C) 132.
Community Answer
From 12 books, the difference between number of ways a selection of 5 ...
11C5-11C4=132
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From 12 books, the difference between number of ways a selection of 5 books, when One specified book is always excluded and One specified book is always included is How many number? A)64. B)118. C)132. D)330?
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From 12 books, the difference between number of ways a selection of 5 books, when One specified book is always excluded and One specified book is always included is How many number? A)64. B)118. C)132. D)330? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about From 12 books, the difference between number of ways a selection of 5 books, when One specified book is always excluded and One specified book is always included is How many number? A)64. B)118. C)132. D)330? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for From 12 books, the difference between number of ways a selection of 5 books, when One specified book is always excluded and One specified book is always included is How many number? A)64. B)118. C)132. D)330?.
From 12 books, the difference between number of ways a selection of 5 books, when One specified book is always excluded and One specified book is always included is How many number? A)64. B)118. C)132. D)330? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about From 12 books, the difference between number of ways a selection of 5 books, when One specified book is always excluded and One specified book is always included is How many number? A)64. B)118. C)132. D)330? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for From 12 books, the difference between number of ways a selection of 5 books, when One specified book is always excluded and One specified book is always included is How many number? A)64. B)118. C)132. D)330?.
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