Multinomial Theorem

JEE Main Mathematics · Binomial Theorem · 5 questions, latest first

• Let (1+x+x^2)^10=a_0+a_1 x+a_2 x^2+…+a_20 x^20. If (a_1+a_3+a_5+…+a_19)-11 a_2=121 k, then k is equal to ____.20253 April, Shift 2 · Q21
• The sum of all rational terms in the expansion of (1+2^1 / 3+3^1 / 2)^6 is equal to ____202523 January, Shift 1 · Q23
• Let (a+b x+c x^2)^10=Σ_i=0^20 p_i x^i, a, b, c ∈ N. If p_1=20 and p_2=210, then 2(a+b+c) is equal to202315 April, Shift 1 · Q7
• The coefficient of x^7 in (1-x+2 x^3)^10 is ____.202310 April, Shift 1 · Q25
• The constant term in the expansion of (2 x+1/x^7+3 x^2)^5 is ____.202325 January, Shift 1 · Q84