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- Question 1 and 2 Exercise 6.1
- Question 3 & 4 Exercise 6.1
- Question 5 Exercise 6.1
- Question 4 Exercise 6.1
- Question 5 Exercise 6.1
- Question 1 and 2 Exercise 6.2
- Question 3 and 4 Exercise 6.2
- Question 5 and 6 Exercise 6.2
- Question 7 and 8 Exercise 6.2
- Question 9 Exercise 6.2
- Question 10 Exercise 6.2
- Question 11 Exercise 6.2
- Question 12 Exercise 6.2
- Question 13 Exercise 6.2
- Question 14 and 15 Exercise 6.2
- Question 1 Exercise 6.3
- Question 2 Exercise 6.3
- Question 3 Exercise 6.3
- Question 4 Exercise 6.3
- Question 5 and 6 Exercise 6.3
- Question 7 and 8 Exercise 6.3
- Question 9 Exercise 6.3
- Question 9 Exercise 6.3
- Question 1 Exercise 6.4
- Question 2 Exercise 6.4
- Question 3 Exercise 6.4
- Question 4 Exercise 6.4
- Question 5 Exercise 6.4
- Question 6 Exercise 6.4
- Question 7 Exercise 6.4
- Question 1 and 2 Exercise 6.5
- Question 3 and 4 Exercise 6.5
- Question 5 and 6 Exercise 6.5
- Question 7 Exercise 6.5
- Question 8 Exercise 6.5
- Question 9 Exercise 6.5
- Question 10 Exercise 6.5
- Question 1 Review Exercise 6
- Question 2 Review Exercise 6
- Question 3 & 4 Review Exercise 6
- Question 5 & 6 Review Exercise 6
- Question 7 & 8 Review Exercise 6
- Question 9 & 10 Review Exercise 6
- Question 11 Review Exercise 6
Fulltext results:
- Question 13 Exercise 6.2
- ion and Probablity. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtu... nce." How many of these permutations begin with $\mathrm{E}$ ? ====Solution==== The total number of lett... ! \cdot 2 !}\\ &=37,800 \end{align} Begin with $\mathrm{E}$ If we have to pick the combination of word... nce." How many of these permutations begin with $\mathrm{E}$ and end with $\mathrm{C}$ ? ====Solution===
- Question 12 Exercise 6.2
- ion and Probablity. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtu... BOOKWORM are $8.$ $n=8$ out of which three are $\mathrm{O}$, so $m_1=3$.. Thus total number of diffe... === BOOKKEEPER\\ The total number of letters in $\mathrm{BOOK}$ KEEPER are ten. $n=10$, out of which two are $\mathrm{O}$, so $m_1=2$, three are $\mathrm{E}$, so $
- Question 9 Exercise 6.3
- ion and Probablity. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtu... tal number of committees are: \begin{align}{ }^7 \mathrm{C}_5 \cdot{ }^6 \mathrm{C}_3&=\dfrac{7 !}{(7-5) ! 5 !} \dfrac{6 !}{(6-3) ! 3 !}\\ &=420 \end{align} I... tal number of commitlees are: \begin{align}{ }^6 \mathrm{C}_2 \cdot{ }^7 \mathrm{C}_6& =\dfrac{6 !}{(6-2
- Question 4 Exercise 6.3
- ion and Probablity. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtu... } \\ & =\dfrac{n !}{(n-r) ! r !} \\ & ={ }^n C_r=\mathrm{R} \cdot \mathrm{H} \cdot \mathrm{S}\end{align} =====Question 4(ii)===== Prove that: $r \cdot{ }^n C_r=n^{n-1} C_{r
- Question 5 and 6 Exercise 6.2
- ion and Probablity. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtu... 2 digits. Thus the total different four digits $\mathrm{n} . \mathrm{m}$ ber that can $e$ formed though these 5 digits are: $$=5.4 .3 .2=120\quad \text{or}$$... o To==== <text align="left"><btn type="primary">[[math-11-kpk:sol:unit06:ex6-2-p2 |< Question 3 & 4 ]]</
- Question 5 Exercise 6.4
- ion and Probablity. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtu... g $3$ men and $2$ worncn are: \begin{align}{ }^6 \mathrm{C}_3\cdot{ }^{4} \mathrm{C}_2&=\dfrac{6 !}{(6-3) ! 3 !} \cdot \dfrac{4 !}{(4-2) ! 2 !}\\ &=120\end{al... o To==== <text align="left"><btn type="primary">[[math-11-kpk:sol:unit06:ex6-4-p4 |< Question 4 ]]</btn>
- Question 3 and 4 Exercise 6.5
- ion and Probablity. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtu... y exclusive. ====Solution==== We are given that $\mathrm{A}$ and $B$ are mutually exclusive, therefore $... o To==== <text align="left"><btn type="primary">[[math-11-kpk:sol:unit06:ex6-5-p1 |< Question 1 & 2 ]]</... </text> <text align="right"><btn type="success">[[math-11-kpk:sol:unit06:ex6-5-p3|Question 5 & 6 >]]</bt
- Question 3 & 4 Exercise 6.1
- ion and Probablity. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtu... o To==== <text align="left"><btn type="primary">[[math-11-kpk:sol:unit06:ex6-1-p1 |< Question 1 & 2 ]]</... </text> <text align="right"><btn type="success">[[math-11-kpk:sol:unit06:ex6-1-p3|Question 5 >]]</btn></
- Question 4 Exercise 6.1
- ion and Probablity. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtu... o To==== <text align="left"><btn type="primary">[[math-11-kpk:sol:unit06:ex6-1-p3 |< Question 3 ]]</btn>... </text> <text align="right"><btn type="success">[[math-11-kpk:sol:unit06:ex6-1-p5|Question 5 >]]</btn></
- Question 3 and 4 Exercise 6.2
- ion and Probablity. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtu... o To==== <text align="left"><btn type="primary">[[math-11-kpk:sol:unit06:ex6-2-p1 |< Question 1 & 2 ]]</... </text> <text align="right"><btn type="success">[[math-11-kpk:sol:unit06:ex6-2-p3|Question 5 & 6 >]]</bt
- Question 7 and 8 Exercise 6.2
- ion and Probablity. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtu... o To==== <text align="left"><btn type="primary">[[math-11-kpk:sol:unit06:ex6-2-p3 |< Question 5 & 6 ]]</... </text> <text align="right"><btn type="success">[[math-11-kpk:sol:unit06:ex6-2-p5|Question 9 >]]</btn></
- Question 9 Exercise 6.2
- ion and Probablity. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtu... o To==== <text align="left"><btn type="primary">[[math-11-kpk:sol:unit06:ex6-2-p4 |< Question 7 & 8 ]]</... </text> <text align="right"><btn type="success">[[math-11-kpk:sol:unit06:ex6-2-p6|Question 10 >]]</btn><
- Question 10 Exercise 6.2
- ion and Probablity. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtu... o To==== <text align="left"><btn type="primary">[[math-11-kpk:sol:unit06:ex6-2-p5 |< Question 9 ]]</btn>... </text> <text align="right"><btn type="success">[[math-11-kpk:sol:unit06:ex6-2-p7|Question 11 >]]</btn><
- Question 11 Exercise 6.2
- ion and Probablity. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtu... o To==== <text align="left"><btn type="primary">[[math-11-kpk:sol:unit06:ex6-2-p6 |< Question 10 ]]</btn... </text> <text align="right"><btn type="success">[[math-11-kpk:sol:unit06:ex6-2-p8|Question 12 >]]</btn><
- Question 2 Exercise 6.3
- ion and Probablity. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtu... o To==== <text align="left"><btn type="primary">[[math-11-kpk:sol:unit06:ex6-3-p1 |< Question 1 ]]</btn>... </text> <text align="right"><btn type="success">[[math-11-kpk:sol:unit06:ex6-3-p3|Question 3 >]]</btn></