Find the rank of the word ‘RANK’ in dictionary.

Using binomial theorem, expand \({ \left( { x }^{ 2 }+\frac { 1 }{ { x }^{ 2 } } \right) }^{ 4 }\)

Find the 5^th term in the expansion of \({ \left( x-\frac { 3 }{ { x }^{ 2 } } \right) }^{ 10 }\)

Find the Coefficient of x¹⁰ in the binomial expansion of \({ \left( 2x^2-\frac { 3 }{ { x }^{ } } \right) }^{ 11 }\)

Using 9 digits from 1, 2, 3, ……,9 taking 3 digits at a time, how many 3 digits numbers can be formed when repetition is allowed?