Question and Answers Forum

All Questions Topic List

Permutation and CombinationQuestion and Answers: Page 8

Question Number 148092 Answers: 1 Comments: 0

Question Number 147914 Answers: 0 Comments: 0

f (x ):= 3x +[ (x/4) ] , D_( f) =[ 0,∞) f^( −1) ( x )= ?

$f (x) := 3 x + [\frac{x}{4}], D_{f} = [0, \infty)$ $f^{- 1} (x) = ?$

Question Number 147876 Answers: 1 Comments: 0

Question Number 147654 Answers: 0 Comments: 1

Question Number 147524 Answers: 0 Comments: 5

Question Number 146824 Answers: 1 Comments: 0

Question Number 145944 Answers: 1 Comments: 1

Question Number 145863 Answers: 1 Comments: 0

Question Number 145104 Answers: 1 Comments: 0

If ((!6)/x) −!4 = !x then x =?

$If \frac{! 6}{x} -! 4 =! x then x = ?$

Question Number 143740 Answers: 1 Comments: 0

Prove that lim_(n→+∞) 2n−(2n+1)ln(n)+Σ_(p=0) ^n ln(1+p^2 )= ln(e^π −e^(−π) )

$Prove that$ $\underset{n \to + \infty}{\lim 2 n} - (2 n + 1) \ln (n) + \underset{p = 0}{\sum^{n}} \ln (1 + p^{2}) = \ln (e^{π} - e^{- π})$

Question Number 143627 Answers: 2 Comments: 0

Question Number 143462 Answers: 3 Comments: 0

lim_(x→1) ((x−1)/(ln((x/(2−x))))) = ???

$\lim_{x \to 1} \frac{x - 1}{l n (\frac{x}{2 - x})} = ? ? ?$

Question Number 142904 Answers: 1 Comments: 0

If 2+log _2 (x)=3+log _3 (y)=log _6 (x−4y) then the value of (1/(2y))−(2/x)=?

$I f 2 + \log_{2} (x) = 3 + \log_{3} (y) = \log_{6} (x - 4 y)$ $t h e n t h e v a l u e o f \frac{1}{2 y} - \frac{2}{x} = ?$

Question Number 142765 Answers: 1 Comments: 1

A class has 13 children. To play a game one child is the referee and the other children are divided in three teams with four children in each team. In how many ways can the class play the game?

$A c l a s s h a s 13 c h i l d r e n . T o p l a y a$ $g a m e o n e c h i l d i s t h e r e f e r e e a n d t h e$ $o t h e r c h i l d r e n a r e d i v i d e d i n t h r e e$ $t e a m s w i t h f o u r c h i l d r e n i n e a c h t e a m .$ $I n h o w m a n y w a y s c a n t h e c l a s s p l a y$ $t h e g a m e ?$

Question Number 142691 Answers: 1 Comments: 1

The number of distributions of 52 cards divided equally to 4 persons so as each gets 4 cards of same suit taken away from 3suits(4×3=12)℘ remaining card from remaining 4 th suit is

$T h e n u m b e r o f d i s t r i b u t i o n s o f 52$ $c a r d s d i v i d e d e q u a l l y t o 4 p e r s o n s s o$ $a s e a c h g e t s 4 c a r d s o f s a m e s u i t$ $t a k e n a w a y f r o m 3 s u i t s (4 \times 3 = 12) ℘$ $r e m a i n i n g c a r d f r o m r e m a i n i n g$ $4 t h s u i t i s$

Question Number 142630 Answers: 0 Comments: 1

Given f(x)=(1/(1+2^x )) find the value of f((1/(2018)))×f((3/(2018)))×f(((2015)/(2018)))×f(((2017)/(2018)))=?

$G i v e n f (x) = \frac{1}{1 + 2^{x}}$ $f i n d t h e v a l u e o f$ $f (\frac{1}{2018}) \times f (\frac{3}{2018}) \times f (\frac{2015}{2018}) \times f (\frac{2017}{2018}) = ?$

Question Number 142618 Answers: 0 Comments: 2

In how many ways can committee of 5 be formed from a group of 11 people consisting of 4 teachers and 7 students if there is no restriction in the selection ? _______________________

$I n h o w m a n y w a y s c a n c o m m i t t e e$ $o f 5 b e f o r m e d f r o m a g r o u p$ $o f 11 p e o p l e c o n s i s t i n g o f 4 t e a c h e r s$ $a n d 7 s t u d e n t s i f t h e r e i s n o$ $r e s t r i c t i o n i n t h e s e l e c t i o n ?$ $_______________________$

Question Number 142305 Answers: 1 Comments: 0

Question Number 141777 Answers: 0 Comments: 1

A pack of 52 cards distributed equally to 4 people so as 4 cards each from same suit( of any 3 suit=4×3=12) and last card from 4th remaining suit . Number of such distributions is?

$A p a c k o f 52 c a r d s d i s t r i b u t e d e q u a l l y t o$ $4 p e o p l e s o a s 4 c a r d s e a c h f r o m$ $s a m e s u i t (o f a n y 3 s u i t = 4 \times 3 = 12)$ $a n d l a s t c a r d f r o m 4 t h r e m a i n i n g$ $s u i t . N u m b e r o f s u c h$ $d i s t r i b u t i o n s i s ?$

Question Number 141435 Answers: 1 Comments: 0

Find all the arraangment of all the letters of the word SYLLABUSES such that each word contains the word BUS.

$Find all the arraangment of all the letters$ $of the word SYLLABUSES such that$ $each word contains the word BUS .$

Question Number 139352 Answers: 0 Comments: 1

Question Number 139332 Answers: 1 Comments: 0

Find the coefficient of x^(50) in the expression (1+x)^(1000) +2x(1+x)^(999) + 3x^2 (1+x)^(998) +...+1001x^(1000)

$Find the coefficient of x^{50} in$ $the expression {(1 + x)}^{1000} + 2 x {(1 + x)}^{999} +$ ${3 x}^{2} {(1 + x)}^{998} + . . . + {1001 x}^{1000}$

Question Number 139286 Answers: 0 Comments: 1

(1/((1−x)^n ))=( ((n),(0) ))+( ((n),(1) ))x+( ((n),(2) ))x^2 +( ((n),(3) ))x^3 +...

$\frac{1}{{(1 - x)}^{n}} = ((\begin{matrix} n \\ 0 \end{matrix})) + ((\begin{matrix} n \\ 1 \end{matrix})) x + ((\begin{matrix} n \\ 2 \end{matrix})) x^{2} + ((\begin{matrix} n \\ 3 \end{matrix})) x^{3} + . . .$

Question Number 138748 Answers: 1 Comments: 0

A committee of 3 members is to be formed from 8 members. Find the number of committees that can be formed if two particular club members cannot both be in a committee

$A committee of 3 members is to be formed from 8 members .$ $Find the number of committees that can be formed if two particular$ $club members cannot both be in a committee$

Question Number 137943 Answers: 1 Comments: 0

Determine the term independent of x in the expansion (((x+1)/(x^(2/3) −x^(1/3) +1)) −((x−1)/(x−x^(1/2) )) )^(10) .

$D e t e r m i n e t h e t e r m i n d e p e n d e n t$ $o f x i n t h e e x p a n s i o n$ ${(\frac{x + 1}{x^{2 / 3} - x^{1 / 3} + 1} - \frac{x - 1}{x - x^{1 / 2}})}^{10} .$

Question Number 137745 Answers: 1 Comments: 0

Each of the digits 2, 4, 6, and 8 can be used once and once only in writing a four-digit number. What is the sum of all such numbers that are divisible by 11?

Pg 3 Pg 4 Pg 5 Pg 6 Pg 7 Pg 8 Pg 9 Pg 10 Pg 11 Pg 12

Contact: info@tinkutara.com