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- Ch 07: Permutation, Combination and Probability
- anwala(2015)// * How many $6-digit$ numbers can be formed from the digits $2,2,3,3,4,4$? How many of... -// BISE Gujrawala(2015)// * How many words can be formed from the letter $``PLANE"$ using all lette... // * In how many way can a hockey team of $11$ be selected out of $15$ players. ---// BISE Sargodha... argodha(2017)// * In how many ways can $4$ keys be arranged on a circular key ring? ---// BISE Sarg
- Ch 04: Quadratic Equations
- tion $x^2-2(m+\frac{1}{m})x+3=0$, $m \neq 0$ will be real --- //BISE Gujrawala(2017)// * Solve th... * Solve that the roots of $x^2+(mx+c)^2=a^2$ will be equal if $c^2=a^2(1+m^2)$ --- //BISE Sargodha(20... )(x-a)=0$ are real, also show that the roots will be equal only if $a=b=c$ --- //FBISE (2017)// *
- Ch 01: Number Systems
- )^{19}$ --- //BISE Gujrawala(2015)// * If $z$ be a complex number then prove that $\overline{z_1 +
- Ch 06: Sequences and Series
- $n$, so that $\frac{a^n+b^n}{a^{n-1}+b^{n-1}}$ maybe $A.M$ between $a$ and $b$. --- //BISE Gujrawala(
- Ch 08: Mathematical Induction and Binomial Theorem
- s so small that bits square and higher powers can be neglected then show that $\frac{1-x}{\sqrt{1+x}}