Permutations and CombinationsSimple Applications (KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math): Questions 1  4 of 4
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Question number: 1
» Permutations and Combinations » Simple Applications
Appeared in Year: 2015
Question
How many ways are there to arrange the letters of the word EDUCATION so that all the following three conditions hold?
1. the vowels occur in the same order (EUAIO)
2. the consonants occur in the same order (DCTN)
3. no two consonants are next to each other
Choices
Choice (4)  Response  

a.  72 

b.  120 

c.  15 

d.  24 

Question number: 2
» Permutations and Combinations » Simple Applications
Question
Calculate the numbers of ways to arrange the letters of the word REGULATION so that all the following three conditions hold?
1. the vowels occur in the same order (EUAIO)
2. the consonants occur in the same order (RGLTN)
3. two consonants are not arranged next to each other
Choices
Choice (4)  Response  

a.  15 

b.  6 

c.  8 

d.  9 

Question number: 3
» Permutations and Combinations » Simple Applications
Question
If ^{n }C _{r1} = 8, ^{n }C _{r} = 28, and ^{n }C _{r + 1} = 56; than value of n and r respectively –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 4
» Permutations and Combinations » Simple Applications
Question
If ^{n }C _{r1} = 165, ^{n }C _{r} = 330, and ^{n }C _{r + 1} = 462; than value of n and r respectively –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

