1. The coefficient of xn in the expansion (1 + x + x² + .....)-n is
2. If n is a positive integer, then (√5+1)2n + 1 − (√5−1)2n + 1 is
3. In the expansion of (a + b)n, if n is even then the middle term is
4. In the expansion of (a + b)n, if n is odd then the number of middle term is/are
5. if n is a positive ineger then 23nn - 7n - 1 is divisible by
6. In the binomial expansion of (71/2 + 51/3)37, the number of integers are
7. The number of ordered triplets of positive integers which are solution of the equation x + y + z = 100 is
8. The greatest coefficient in the expansion of (1 + x)10 is
9. If the third term in the binomial expansion of (1 + x)m is (-1/8)x² then the rational value of m is
10. In the binomial expansion of (a + b)n, the coefficient of fourth and thirteenth terms are equal to each other, then the value of n is