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1 A student has to answer 10 out of 13 questions in an exam. How many choices has he (i) if there is no restriction? (ii) if he must answer the first two questions? (iii) if he must answer the first or second question but not both? (iv) if he must answer exactly three out of the first 5 questions? (v) if he must answer at least 3 of the first 5 questions?

1 A student has to answer 10 out of 13 questions in an exam. How many choices has he (i) if there is no restriction? (ii) if he must answer the first two questions? (iii) if he must answer the first or second question but not both? (iv) if he must answer exactly three out of the first 5 questions? (v) if he must answer at least 3 of the first 5 questions?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1 2 3 A student has to answer 10 out of 13 questions in an exam. How many choices has he (i) if there is no restriction? (ii) if he must answer the first two questions? (iii) if he must answer the first or second question but not both? (iv) if he must answer exactly three out of the first 5 questions? (v) if he must answer at least 3 of the first 5 questions? How many integers between 1 and 10,00,000 have the sum of the digits equal to 15? (i) If * is defined on Q* such that a * b = ªb, for a, b € Q*, show that {Q*, *} is an abelian group. (ii) If* is defined on Z such that a * b=a+b+1 for a, b = Z, show that {Z, *} is an abelian group. (iii) If* is defined on R such that a b = a + b - ab, for a, b e R, show that {R, *} is an abelian group.
Transcribed Image Text:1 2 3 A student has to answer 10 out of 13 questions in an exam. How many choices has he (i) if there is no restriction? (ii) if he must answer the first two questions? (iii) if he must answer the first or second question but not both? (iv) if he must answer exactly three out of the first 5 questions? (v) if he must answer at least 3 of the first 5 questions? How many integers between 1 and 10,00,000 have the sum of the digits equal to 15? (i) If * is defined on Q* such that a * b = ªb, for a, b € Q*, show that {Q*, *} is an abelian group. (ii) If* is defined on Z such that a * b=a+b+1 for a, b = Z, show that {Z, *} is an abelian group. (iii) If* is defined on R such that a b = a + b - ab, for a, b e R, show that {R, *} is an abelian group.
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