Progression Question no. 1 What is equal to ? looks_one n+2 C 1 looks_two n+2 C n looks_3 n+3 C n looks_4 n+2 C n+1 Answer Option looks_one n+2 C 1 Solution Solution : Question no. 2 What is the sum of coefficients in the expansion of (1+x) n ? looks_one 2 n looks_two 2 n - 1 looks_3 2 n + 1 looks_4 (n+1) Answer Option looks_one 2 n Solution Solution : (1 + x) n = n C 0 + n C 1 x + n C 2 x 2 + ........ + n C n x n put x = 1 2 n = n C 0 + n C 1 + n C 2 + ........ + n C n sum of coefficient = n C 0 + n C 1 + n C 2 + ........ + n C n = 2 n Question no. 3 The value of the term independent of x in the expansion of is looks_one 9 looks_two 18 looks_3 48 looks_4 84 Answer Option looks_4 84 Solution Solution : T r+1 = n C r (x 2 ) n-r (-1/x) r = n C r (x) 2n-2r-r (-1) r = n C r (x) 2n-3r (-1) r For independent of x : 2n -3r = 0 3r = 2 *9 r...