1
IIT-JEE 1982
Fill in the Blanks
+2
-0
The sum of the coefficients of the plynomial $${\left( {1 + x - 3{x^2}} \right)^{2163}}$$ is ...............
2
IIT-JEE 1982
Subjective
+5
-0
Prove that $${7^{2n}} + \left( {{2^{3n - 3}}} \right)\left( {3n - 1} \right)$$ is divisible by 25 for any natural number $$n$$.
3
IIT-JEE 1982
Fill in the Blanks
+2
-0
In a certain test, $${a_i}$$ students gave wrong answers to atleast i questions, where i = 1, 2,..., k. No student gave more than k wrong answers. The total number of wrong answers given is.....................................
4
IIT-JEE 1982
MCQ (Single Correct Answer)
+2
-0.5
Ten different letters of an alphabet are given. Words with five letters are formed from these given letters. Then the numbers of words which have at least one letter repeated are
A
69760
B
30240
C
99748
D
none of these
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