`(101)^(3)-(51)^(3)-(50)^(3)`

Find the value of (80)^(3)-(51)^(3)-(29)^(3)

Set A={1,2,3,....10} find the number of subsets of A such that the product of all the elements in the subset is even (A)2^(51)(2^(50)-1) (B) 2^(50)(2^(50)-1)(C)2^(50)(2^(51)-1)(D)2^(51)(2^(49))-1)

Using binomial theorem,prove that (101)^(50)>100^(50)+99^(50).

((51),(3))+((50),(3))+((49),(3))+((48),(3))+((47),(3))+((47),(4))=

Prove that , (101)^(50) gt 100^(50)+99^(50)

Using binomial theorem find (i) (101)^(5) (ii) 51^(6)

{:((51),(3))+:}{:((50),(3)):}+{:((49),(3)):}+{:((48),(3)):}+{:((47),(3)):}+{:((47),(3)):}=

The value of ((""^(50)C_(0))/(1)+(""^(50)C_(2))/(3)+(""^(50)C_(4))/(5)+...+(""^(50)C_(50))/(51)) a) (2^(50))/(51) b) (2^(50)-1)/(51) c) (2^(50)-1)/(50) d) (2^(51)-1)/(51)