Math (Grade 12)

Elementary Group Theory

| Unit-1|Elementary Group Theory 1.(a) If a * b = 3a+2b for a, b ∈ z, the set of integers, show that * is a binary operation on z. Solution: Given: a * b =3a+2b for a, b ∈ z Closure property  If a, b ∈ z then a+b …

Binomial Theorem, Exponential and Logarithmic Series

(7) Find the middle term in the expansion of (2a +3x)³⁰. Solution Here,the number of terms inthe expansion of (2a+3x)³⁰ is 30+1 i.e. 31.So, there is only one middle term. ∴ middle term= …

Permutation and Combination NEB CBSE[Class 12]

Questions and Solution of Combination  Q.1.Find the values of  14 C 5  ,  10 C 8  and C(7,2). Solution :   *14 C 5 = 14 ! 5 ! ( 14 − 5 ) ! = 14 ! 5 ! 9 ! =  14.13 .12 .11 .10 .9 …

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