Скачать или смотреть For a set of 5 True/False questions i) No student has written all correct answer ii) No two......

Class XI_Permutations & Combinations
Q: For a set of 5 True/False questions
No student has written all correct answer
No two students have given same sequence
Find maximum number of students in the class for this to be possible








Previous recorded questions and their links:
Introduction:    • INTRODUCTION TO CONCEPT OF PERMUTATION OF ...  
Q: In how many ways 5 rings of different types can be worn in 4 fingers?:    • In how many ways 5 rings of different type...  
Fundamental Principle of Counting:    • FUNDAMENTAL PRINCIPLE OF COUNTING  
Q: In how many ways can 5 letters be posted in 4 letter boxes?:    • In how many ways 5 rings of different type...  
Q: A gentleman has 6 friends to invite. In how many ways can he send invitation cards to them, if he has 3 servants to carry the cards?:    • A gentleman has 6 friends to invite. In ho...  
Q: How many numbers between 3000 & 4000 be formed from digits 3, 4, 5, 6, 7, 8. Repetition not allowed?:    • How many numbers between 3000 & 4000 be fo...  
Q: How many numbers divisible by 5 and lying between 4000 & 5000 & can be formed from digits 4, 5, 6, 7, 8.:    • How many numbers divisible by 5 and lying ...  
Q: A mint prepares metallic calendars specifying months, dates & days in the form of monthly sheets (one plate for each month). How many types of FEBRUARY calendars should it prepare to serve for the possibilities in future years.:    • A mint prepares metallic calendars specify...  
Q29:    • Serial number of an item produced in a fac...  
Q31:    • A customer forgets a 4 digit code for ATM ...  
Q8:    • A letter - lock consists of 3 rings each m...  
Q43:    • 3 dies are rolled. Find the number of poss...  
Q48:    • There are 10 lamps in a hall. Each of them...  
Q47:    • In how many ways can 4 prizes be distribut...  
FUNDAMENTALS OF PERMUTAITONS & COMBINATIONS:    • FUNDAMENTALS OF PERMUTATIONS & COMBINATIONS  
Q: Prove that 0! = 1:    • Prove that 0! = 1  
Q: If 10Pr = 5040. Find r.:    • If 10Pr = 5040. Find r.  
Q: If 56Pr + 6 : 54Pr + 3 = 30800 : 1. Find r.:    • If 56Pr + 6 : 54Pr + 3 = 30800 : 1. Find r.  
Q: If nPr = 720 & nCr = 120. Find r.    • If nPr = 720 & nCr = 120. Find r.  .
Q: Prove that 2nCn = (2^n {1⋅3⋅5⋅7…(2n-1)})/n!:    • Prove that 2nCn = (2^n {1⋅3⋅5⋅7…(2n-1)})/n!  
7.3 Q1:    • How many 3 digit numbers can be formed fro...  
7.3 Q2:    • How many 4 – digit numbers are there with ...  
7.3 Q3:    • How many 3 – digit even numbers can be mad...  
7.3 Q4:    • Find the number of 4 – digit numbers that ...  
7.3 Q6:    • Find n if  ^(𝒏−𝟏) 𝑷_𝟑: ^𝒏 𝑷_𝟒=𝟏 :𝟗.  
7.3 Q8:    • How many words, with or without meaning, c...  
7.3 Q9:    • How many words, with or without meaning ca...  
7.3 Q11:    • In how many ways can the letters of the wo...  
Q15: If α= ^n C_2. Find ^α C_2:    • If 𝛂= ^𝐧 𝐂_𝟐. Find  ^𝛂 𝐂_𝟐  
Q8: If 8Cx - 7C3 = 7C2. Find x.:    • If 8Cx - 7C3 = 7C2. Find x.  
Q: Determine the number of natural numbers smaller than 10^4 in the decimal notation of it all the digits are distinct.:    • Determine the number of natural numbers sm...  








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