1
IIT-JEE 2012 Paper 2 Offline
MCQ (Single Correct Answer)
+4
-1
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 1 Offline
MCQ (Single Correct Answer)
+4
-1
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
3
IIT-JEE 2009 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1
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
4
IIT-JEE 2008 Paper 2 Offline
MCQ (Single Correct Answer)
+4
-1

Consider all possible permutations of the letters of the word ENDEANOEL. Match the Statements/Expressions in Column I with the Statements/Expressions in Column II.

Column I Column II
(A) The number of permutations containing the word ENDEA is (P) 5!
(B) The number of permutations in which the letter E occurs in the first and the last position is (Q) 2 $$\times$$ 5!
(C) The number of permutations in which none of the letters D, L, N occurs in the last five positions is (R) 7 $$\times$$ 5!
(D) The number of permutations in which the letters A, E, O occur only in odd positions is (S) 21 $$\times$$ 5!

A
(A) - p ; (B) - s; (C) - q ; (D) - q
B
(A) - q ; (B) - q ; (C) - s ; (D) - p
C
(A) - p ; (B) - s; (C) - p ; (D) - r
D
(A) - p ; (B) - r ; (C) - q ; (D) - p
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