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Exercise 6.2 (Solutions)
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${ }^n P_n=2 \cdot{ }^n P_{n-2}$\\ [[math-11-nbf:sol:unit06:ex6-2-p1|Solution Question 1]] **Question... P_n:{ }^{2 n+1} P_{n-1}=22: 7$ \\ [[math-11-nbf:sol:unit06:ex6-2-p2|Solution: Question 2 ]] **Questi... _{r+3}:{ }^{56} P_{r+6}=1: 30800$\\ [[math-11-nbf:sol:unit06:ex6-2-p3|Solution: Question 3 ]] **Questi... , if the digits are not repeated?\\ [[math-11-nbf:sol:unit06:ex6-2-p4|Solution: Question 4 & 5 ]] **Qu
Exercise 6.3 (Solutions)
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+{ }^{n} C_{r-1}={ }^{n+1} C_{r}$\\ [[math-11-nbf:sol:unit06:ex6-3-p1|Solution: Question 1(i-v)]] **Qu... ve integers is divisible by $k$ !\\ [[math-11-nbf:sol:unit06:ex6-3-p2|Solution: Question 1(vi-x) ]] **... ^{2 n} C_{3}:{ }^{n} C_{2}=12: 1$\\ [[math-11-nbf:sol:unit06:ex6-3-p3|Solution: Question 2 ]] **Questi... \mathrm{C}_{\mathrm{r}-1}=11: 5$\\ [[math-11-nbf:sol:unit06:ex6-3-p4|Solution: Question 3 ]] **Questi
Exercise 6.1 (Solutions)
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-2)!}$ (v) $\dfrac{8!}{(6!)^2}$ \\ [[math-11-nbf:sol:unit06:ex6-1-p1|Solution: Question 1]] **Questio... $\frac{(n-3)(n-2)(n-1)}{n(n-4)}$\\ [[math-11-nbf:sol:unit06:ex6-1-p2|Solution: Question 2 ]] **Questi... rac{(n-1)!}{(n-3)!}=n^{2}-3 n+2$ \\ [[math-11-nbf:sol:unit06:ex6-1-p3|Solution: Question 3 & 4]] **Que... !}=2^{n-1}(1.3 .5 \ldots(2 n-1))$\\ [[math-11-nbf:sol:unit06:ex6-1-p3|Solution: Question 3 & 4]] **Que
Review Exercise (Solutions)
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tion. Choose the correct option. \\ [[math-11-nbf:sol:unit06:Re-ex6-p1|See MCQs: Question 1]] **Questi... by using $4$ distinct alphabets?\\ [[math-11-nbf:sol:unit06:Re-ex6-p2|Solution: Question 2 & 3 ]] **Q... ere which has $0$ at unit place?\\ [[math-11-nbf:sol:unit06:Re-ex6-p2|Solution: Question 2 & 3 ]] **... $0,2,3,4,5,7$ without repeating?\\ [[math-11-nbf:sol:unit06:Re-ex6-p3|Solution: Question 4, 5 & 6 ]]
Question 2, Exercise 6.1
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xt align="left"><btn type="primary">[[math-11-nbf:sol:unit06:ex6-1-p1|< Question 1 ]]</btn></text> <text align="right"><btn type="success">[[math-11-nbf:sol:unit06:ex6-1-p3|Question 3 & 4>]]</btn></text>
Question 3 and 4, Exercise 6.1
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xt align="left"><btn type="primary">[[math-11-nbf:sol:unit06:ex6-1-p2|< Question 2 ]]</btn></text> <text align="right"><btn type="success">[[math-11-nbf:sol:unit06:ex6-1-p4|Question 5>]]</btn></text>
Question 5, Exercise 6.1
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xt align="left"><btn type="primary">[[math-11-nbf:sol:unit06:ex6-1-p3|< Question 3 & 4 ]]</btn></text> ... xt align="right"><btn type="success">[[math-11-nbf:sol:unit06:ex6-1-p5|Question 6(i-v)>]]</btn></text>
Question 6(i-v), Exercise 6.1
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xt align="left"><btn type="primary">[[math-11-nbf:sol:unit06:ex6-1-p4|< Question 5 ]]</btn></text> <tex... t align="right"><btn type="success">[[math-11-nbf:sol:unit06:ex6-1-p6|Question 6(vi-ix)>]]</btn></text>
Question 6(vi-ix), Exercise 6.1
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xt align="left"><btn type="primary">[[math-11-nbf:sol:unit06:ex6-1-p5|< Question 6(i-v) ]]</btn></text>... t align="right"><btn type="success">[[math-11-nbf:sol:unit06:ex6-1-p7|Question 7(i-vi)>]]</btn></text>
Question 7(i-vi), Exercise 6.1
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xt align="left"><btn type="primary">[[math-11-nbf:sol:unit06:ex6-1-p6|< Question 6(vi-ix) ]]</btn></tex... t align="right"><btn type="success">[[math-11-nbf:sol:unit06:ex6-1-p8|Question 7(vii-xi)>]]</btn></text
Question 2, Exercise 6.2
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xt align="left"><btn type="primary">[[math-11-nbf:sol:unit06:ex6-2-p1|< Question 1 ]]</btn></text> <text align="right"><btn type="success">[[math-11-nbf:sol:unit06:ex6-2-p3|Question 3>]]</btn></text>
Question 3, Exercise 6.2
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xt align="left"><btn type="primary">[[math-11-nbf:sol:unit06:ex6-2-p2|< Question 2 ]]</btn></text> <text align="right"><btn type="success">[[math-11-nbf:sol:unit06:ex6-2-p4|Question 4 & 5>]]</btn></text>
Question 4 and 5, Exercise 6.2
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xt align="left"><btn type="primary">[[math-11-nbf:sol:unit06:ex6-2-p3|< Question 3 ]]</btn></text> <text align="right"><btn type="success">[[math-11-nbf:sol:unit06:ex6-2-p5|Question 6 & 7>]]</btn></text>
Question 6 and 7, Exercise 6.2
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xt align="left"><btn type="primary">[[math-11-nbf:sol:unit06:ex6-2-p4|< Question 4 & 5 ]]</btn></text>... ext align="right"><btn type="success">[[math-11-nbf:sol:unit06:ex6-2-p6|Question 8 & 9>]]</btn></text>
Question 8 and 9, Exercise 6.2
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xt align="left"><btn type="primary">[[math-11-nbf:sol:unit06:ex6-2-p5|< Question 6 & 7 ]]</btn></text>... t align="right"><btn type="success">[[math-11-nbf:sol:unit06:ex6-2-p7|Question 10 & 11>]]</btn></text>
Question 10 and 11, Exercise 6.2
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Question 12 and 13, Exercise 6.2
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Question 14 and 15, Exercise 6.2
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Question 16 and 17, Exercise 6.2
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Question 18 and 19, Exercise 6.2
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Question 20 and 21, Exercise 6.2
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Question 1(vi-x), Exercise 6.3
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Question 2, Exercise 6.3
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Question 3, Exercise 6.3
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Question 4, Exercise 6.3
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Question 5 and 6, Exercise 6.3
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Question 7 and 8, Exercise 6.3
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Question 9 and 10, Exercise 6.3
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Question 11 and 12, Exercise 6.3
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Question 2 and 3, Review Exercise 6
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Question 1, Exercise 6.1
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Question 7(vii-xi), Exercise 6.1
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Question 1, Exercise 6.2
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Question 22 and 23, Exercise 6.2
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Question 1(i-v), Exercise 6.3
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Question 13 and 14, Exercise 6.3
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Question 1, Review Exercise 6
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Question 4, 5 and 6, Review Exercise 6
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