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1.
When 
is divided by 7, then the remainder is
is divided by 7, then the remainder is
2.
The value of 
, for which the 6th term in the expansion of 
is 84, is equal to
, for which the 6th term in the expansion of is 84, is equal to
3.
If 
then
P(k)=k(k+1)+2implies
P(k+1)=(k+1)(k+2)+2
is true for all k∈N. So, statement P(n)=n(n+1)+2 is true for
thenP(k)=k(k+1)+2implies
P(k+1)=(k+1)(k+2)+2
is true for all k∈N. So, statement P(n)=n(n+1)+2 is true for
4.
The number of terms in the expansion of 
when expanded in descending powers of 
is
when expanded in descending powers of is
5.
The binomial coefficients which are in decreasing order are