Let $${{a_n}}$$ denote the number of all n-digit positive integers formed by the digits 0, 1 or both such that no consecutive digits in them are 0.Let $${{b_n}}$$ = the number of such n-digit integers ending with digit 1 and $${{c_n}}$$ =the number of such n-digit integers ending with digit 0.
Which of the following is correct?
A
$${a_{17}} = {a_{16}} + {a_{15}}$$
B
$${c_{17}} \ne {c_{16}} + {c_{15}}$$
C
$${b_{17}} \ne {b_{16}} + {c_{16}}$$
D
$${a_{17}} = {c_{17}} + {b_{16}}$$
2
IIT-JEE 2012 Paper 2 Offline
MCQ (Single Correct Answer)
Let $${{a_n}}$$ denote the number of all n-digit positive integers formed by the digits 0, 1 or both such that no consecutive digits in them are 0.Let $${{b_n}}$$ = the number of such n-digit integers ending with digit 1 and $${{c_n}}$$ =the number of such n-digit integers ending with digit 0.
The value of $${{b_6}}$$ is
A
7
B
8
C
9
D
11
3
IIT-JEE 2012 Paper 1 Offline
MCQ (Single Correct Answer)
The total number of ways in which 5 balls of different colours can be distributed among 3 persons so that each person gets at least one ball is
A
75
B
150
C
210
D
243
4
IIT-JEE 2009
MCQ (Single Correct Answer)
the number of seven digit integers, with sum of the digits equal to 10 and formed by using the digits 1, 2 and 3 only, is
A
55
B
66
C
77
D
88
Questions Asked from Permutations and Combinations
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