1

### IIT-JEE 2012 Paper 2 Offline

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
2

### IIT-JEE 2012 Paper 1 Offline

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

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

Consider all possible permutations of the letters of the word ENDEANOEL. Match the statements / Expressions in Column I with the statement / Expressions in Column II
Column I
(A) The number of permutayions containing the word ENDEA is
(B) The number of permutations in which the letter E occure in the first and the last positions is
(C) The number of permutations in which none of the letters D, L, N occurs in the last five position is
(D) The number of permutations in which the letter A, E, O occurs only in odd position is
Column II
(p) 5!
(q) $$\,2 \times 5!$$
(r) $$\,7 \times 5!$$
(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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