1

### JEE Advanced 2016 Paper 1 Offline

A debate club consists of 6 girls and 4 boys. A team of 4 members is to be select from this club including the selection of a captain (from among these 4 memoers ) for the team. If the team has to include at most one boy, then the number of ways of selecting the team is
A
380
B
320
C
260
D
95
2

### JEE Advanced 2014 Paper 2 Offline

Six cards and six envelopes are numbered 1, 2, 3, 4, 5, 6 and cards are to be placed in envelopes so that each envelope contains exactly one card and no card is placed in the envelope bearing the same number and moreover the card numbered 1 is always placed in envelope numbered 2. Then the number of ways it can be done is
A
264
B
265
C
53
D
67
3

### 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.

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
$${a_{17}} = {c_{17}} + {b_{16}}$$
4

### 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

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Class 12