Question and Answers Forum

Permutation and CombinationQuestion and Answers: Page 4

Question Number 181971 Answers: 1 Comments: 0

How many words can be formed from different letters of the “Your answer is wrong” with not repeating? So that they shouldn′t start with ′o′ neither ′w′ and shouldn′t end with ′w′, and should be′r′ & ′s′ adjacents. Oya...n, Wen...y, Iog...w , Yourws...e : are invalid Enrsow...g : is valid Q.180162

$H o w m a n y w o r d s c a n b e f o r m e d f r o m d i f f e r e n t$ $l e t t e r s o f t h e ‘ ‘ Y o u r a n s w e r i s {w r o n g}^{″} w i t h n o t$ $r e p e a t i n g ? S o t h a t t h e y {s h o u l d n}^{'} t s t a r t w i t h^{'} o^{'}$ $n e i t h e r^{'} w^{'} a n d {s h o u l d n}^{'} t e n d w i t h^{'} w^{'}, a n d$ $s h o u l d {b e}^{'} r^{'} &^{'} s^{'} a d j a c e n t s .$ $O y a . . . n, W e n . . . y, I o g . . . w, Y o u r w s . . . e : a r e i n v a l i d$ $E n r s o w . . . g : i s v a l i d$ $Q . 180162$

Question Number 181939 Answers: 2 Comments: 0

If 10 different balls are to be placed in 4 boxes at random , then the probability that two of these boxes contain exactly 2 and 3 balls

$I f 10 d i f f e r e n t b a l l s a r e t o b e p l a c e d$ $i n 4 b o x e s a t r a n d o m, t h e n t h e p r o b a b i l i t y$ $t h a t t w o o f t h e s e b o x e s c o n t a i n$ $e x a c t l y 2 a n d 3 b a l l s$

Question Number 181251 Answers: 1 Comments: 1

Question Number 180890 Answers: 0 Comments: 2

We have 7 sets with 2 subsets each (yes and no are the 2 subsets of each of the 7 sets) how many possible combinations are there if one of the subset is picked for each of the 7 sets.

Question Number 180899 Answers: 1 Comments: 0

H_n = Σ_(k=1) ^n (1/k) show that H_(2n) − H_n = Σ_(k=1) ^n ((1/(2k−1))−(1/(2k)))

$H_{n} = \underset{k = 1}{\sum^{n}} \frac{1}{k}$ $s h o w t h a t H_{2 n} - H_{n} = \underset{k = 1}{\sum^{n}} (\frac{1}{2 k - 1} - \frac{1}{2 k})$

Question Number 180773 Answers: 1 Comments: 0

How many triangles can be formed from non−adjacent vertices of a regular polygon that it angle is 177^( °) ?

$H o w m a n y t r i a n g l e s c a n b e f o r m e d f r o m$ $n o n - a d j a c e n t v e r t i c e s o f a r e g u l a r p o l y g o n$ $t h a t i t a n g l e i s 177^{°} ?$

Question Number 180585 Answers: 2 Comments: 0

there are 5 points on a line and 4 points on a parallel line. how many quadrilaterals can be formed with these points as vertrices?

$t h e r e a r e 5 p o i n t s o n a l i n e a n d 4$ $p o i n t s o n a p a r a l l e l l i n e .$ $h o w m a n y q u a d r i l a t e r a l s c a n b e$ $f o r m e d w i t h t h e s e p o i n t s a s$ $v e r t r i c e s ?$

Question Number 180520 Answers: 2 Comments: 0

The number of triangles that can be formed by 5 points in a line and 3 points on a parralel line is ___

$The number of triangles$ $that can be formed by 5 points$ $in a line and 3 points on a parralel line$ $is___$

Question Number 180421 Answers: 2 Comments: 0

find the number of numbers less than 10^6 which contain at least 3 different digits.

$f i n d t h e n u m b e r o f n u m b e r s l e s s t h a n$ $10^{6} w h i c h c o n t a i n a t l e a s t 3 d i f f e r e n t$ $d i g i t s .$

Question Number 180335 Answers: 2 Comments: 1

The integers between 1 to 10^4 contain exactly one 8 and one 9 is? I got 1160 but one is arguing 1154only..kindly help me out

$T h e i n t e g e r s b e t w e e n 1 t o 10^{4}$ $c o n t a i n e x a c t l y o n e 8 a n d o n e 9$ $i s ? I g o t 1160 b u t o n e i s a r g u i n g$ $1154 o n l y . . k i n d l y h e l p m e o u t$

Question Number 180212 Answers: 1 Comments: 0

How many polygons can be formed from a heptagon?

$H o w m a n y p o l y g o n s c a n b e f o r m e d$ $f r o m a h e p t a g o n ?$

Question Number 180027 Answers: 1 Comments: 0

There are 4 identical mathematics books, 3 identical physics books, 2 identical chemistry books and 2 identical biology books. in how many ways can you compile these books such that same books are not mutually adjacent. (an unsolved old question)

$There are 4 identical mathematics$ $books, 3 identical physics books, 2$ $identical chemistry books and 2$ $identical biology books . in how many$ $ways can you compile these books$ $such that same books are not mutually$ $adjacent .$ $(a n u n s o l v e d o l d q u e s t i o n)$

Question Number 179993 Answers: 0 Comments: 13

How many 6 digit numbers have different digits and are divisible by 11? (an unsolved old question)

$H o w m a n y 6 d i g i t n u m b e r s h a v e$ $d i f f e r e n t d i g i t s a n d a r e d i v i s i b l e b y$ $11 ?$ $(a n u n s o l v e d o l d q u e s t i o n)$

Question Number 179818 Answers: 4 Comments: 0

in how many ways can you distribute 20 different books to 5 students such that each student gets at least 2 books?

$i n h o w m a n y w a y s c a n y o u d i s t r i b u t e$ $20 d i f f e r e n t b o o k s t o 5 s t u d e n t s s u c h$ $t h a t e a c h s t u d e n t g e t s a t l e a s t 2 b o o k s ?$

Question Number 179948 Answers: 2 Comments: 3

20 students should stand in 5 different rows. each row should have at least 2 students. in how many ways can you arrange them? (an unsolved old question)

$20 s t u d e n t s s h o u l d s t a n d i n 5$ $d i f f e r e n t r o w s . e a c h r o w s h o u l d h a v e$ $a t l e a s t 2 s t u d e n t s . i n h o w m a n y w a y s$ $c a n y o u a r r a n g e t h e m ?$ $(a n u n s o l v e d o l d q u e s t i o n)$

Question Number 179738 Answers: 2 Comments: 0

Number of distributions of 12 different things be taken to 3different boxes so as 1)5 things in 1st box exactly 2)5 things in any one box?

$N u m b e r o f d i s t r i b u t i o n s o f$ $12 d i f f e r e n t t h i n g s b e t a k e n t o$ $3 d i f f e r e n t b o x e s s o a s$ $1) 5 t h i n g s i n 1 s t b o x e x a c t l y$ $2) 5 t h i n g s i n a n y o n e b o x ?$

Question Number 179699 Answers: 0 Comments: 9

20 students are numbered with the numbers from 1 to 20. 10 students are randomly selected. what is the probability that the sum of their numbers is exactly 100?

$20 s t u d e n t s a r e n u m b e r e d w i t h t h e$ $n u m b e r s f r o m 1 t o 20 . 10 s t u d e n t s a r e$ $r a n d o m l y s e l e c t e d . w h a t i s t h e$ $p r o b a b i l i t y t h a t t h e s u m o f t h e i r$ $n u m b e r s i s e x a c t l y 100 ?$