Which of the following statements are true and which are false? Give reasons for your answer.
(i) ‘x2 + y2 - 3 is not divisible by 4.’ is a mathematical statement.
(ii) The number of onto functions from to
is 4!S64.
(iii) The generating function associated with a sequence can never be a polynomial.
(iv) .
(v) Selection sort is faster than insertion sort in worst case.
(vi) , where n is a power of 2, is a linear recurrence relation.
(vii) The generating function of the sequence is (1 - z)-2.
(viii) If g(x) is the generating function for , then (1 - x)g(x) is the generating function for the sequence
where
.
(ix) The number of partitions of 10 with no part larger than 5 is Q105.
(x) The number of integer solutions of the equation in positive integers is
.
______ ____ __________ ________ ________ ________ _________ ____ __________ ___.
_____ _____ ________ ________ _________ _______.
________ ___ _______ __________ _____ _______ _________ ________ ______.
_____ ______ _____ ___ _______ __________ ___.
______ _________ ____ ____ ___ ______ _________.
______ ________ ______ ____ _________ __________ _________.
________ _________ __________ ____.
- Solved Assignments
- Study Notes
- Guess Papers
- Question Papers
✓ Unlock up to 60% of the answer
✓ No payment required
बैल संख्याएँ B6 और B7 ज्ञात कीजिए।
Write the expression in conjunction normal form and disjunctive normal form.
4 लाल और 8 हरी गेंदों वाले एक बस्ते से 2 हरी और 3 लाल गेंदें चुनने की प्रायिकता क्या है ?
किन्हीं भी प्राकृतिक संख्याओं n और k के लिए, सिद्ध कीजिए कि होता है।
Which of the following statements are true and which are false? Give reasons for your answer.
(i) ‘x2 + y2 - 3 is not divisible by 4.’ is a mathematical statement.
(ii) The number of onto functions from to
is 4!S64.
(iii) The generating function associated with a sequence can never be a polynomial.
(iv) .
(v) Selection sort is faster than insertion sort in worst case.
(vi) , where n is a power of 2, is a linear recurrence relation.
(vii) The generating function of the sequence is (1 - z)-2.
(viii) If g(x) is the generating function for , then (1 - x)g(x) is the generating function for the sequence
where
.
(ix) The number of partitions of 10 with no part larger than 5 is Q105.
(x) The number of integer solutions of the equation in positive integers is
.
एक बैंक आपको 4.5% प्रति वर्ष ब्याज देता है। इसके अतिरिक्त, (ब्याज के भुगतान के बाद) आपको वर्ष के अंत में 100/- रुपए का बोनस मिलता है। यदि आपने 2000 रुपए निवेश किए हैं तो आपको n वर्ष के उपरांत मिलने वाली धनराशि के लिए एक पुनरावृत्ति संबंध बनाइए।
यदि 2 सेमी. भुजा वाले एक वर्ग में 5 बिंदु चुने जाते हैं, तो दिखाइए कि इनमें से दो बिंदु ऐसे हमेशा होंगे जिनके बीच की दूरी अधिकतम सेमी. होगी।