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Question 11 Exercise 6.2
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shawar, Pakistan. =====Question 11===== How many numbers each lying between $10$ and $1000$ can be formed ... 9$ using only once? ====Solution==== We will form numbers greater than $10$ and less than $1000$. So some ... e digits. Thus we split into two parts as:\\ (i) Numbers greater than $10$ but less than $100$ These numbers will consist just two digits ten digit and unit digit
Question 5 and 6 Exercise 6.2
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tation as: $$^5 P_4=\dfrac{5 !}{5-4} !=120$$ Even Numbers Out of these for even number, the unit digit ha... be filled by $2$ or $4$. So, we are left with $3$ numbers. Thus Unit digit: $E_1$ occurs in $m_1=2$ Hundr... al principle of counting the total number of even numbers are: $$m_1 \cdot m_2 \cdot m_3 \cdot m_4=2 \cdot
Question 7 Exercise 6.4
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. Find the probability of getting doublet of even numbers. ====Solution==== The sample space rolling a pair... oints are $$n(S)=6 \times 6=36$$ doublet of even numbers. Let \begin{align}A&=\{(2,2),(4,4),(6,6)\}\\ n(A... e that $n(F)=4$. Thus the probability of getting numbers whose product is $6$ is: $$P(F)=\dfrac{n(F)}{n(S)
Question 9 & 10 Review Exercise 6
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eshawar, Pakistan. =====Question 9===== How many numbers greater than a million can be formed with the dig... should not start with $0$, therefore the total numbers that do not start with zero. It can be formed us... are: $$=\dfrac{6 !}{2 ! 3 !}=60 $$ Thus the total numbers greater than $1$ million are $420-50=360$. =====
Question 7 and 8 Exercise 6.2
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n. =====Question 7(i)===== How many three digits numbers can be formed from the digits $1,2,3,4$ and 5 if ... =====Question 7(ii)===== How many three digits numbers can be formed from the digits $1,2,3,4$ and 5 if
Question 3 and 4 Exercise 6.5
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the square of an integer. ====Solution==== Total numbers written on tickets are \begin{align}S&=\{1,2,3, \... \ n(S)&=50 \end{align} Let \begin{align}A \{odd \,numbers \}&=\{1,3,5,..,29\}\\ n(A)&=15\\ \text{Let}\, B&=
Question 13 Exercise 6.2
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$ are $L$ and $m_3=2$ are $C$. \begin{align}\text{Numbers of perinutations are}& =\left(\begin{array}{c} n
Question 1 Review Exercise 6
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): $2520$</collapse> ii. How many two digits odd numbers can be formed form the digits $\{1,2,3,4,5,6,7\}$
Question 7 & 8 Review Exercise 6
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====Question 8===== How many six digits telephone numbers can be constructed with the digits $0,1,2,3,4,5,6