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Permutation and CombinationQuestion and Answers: Page 2

Question Number 202598 Answers: 2 Comments: 0

Question Number 202584 Answers: 1 Comments: 0

Question Number 202374 Answers: 1 Comments: 2

Question Number 202257 Answers: 0 Comments: 2

Question Number 201839 Answers: 0 Comments: 1

Question Number 200051 Answers: 2 Comments: 2

There are many ways to arrange 3 red balls and 9 black balls in a circle so that there are a minimum of 2 black balls between 2 adjacent red balls. (a) 180×8! (b) 240×7! (c) 364×6! (d) 282×4! (e) 144×5!

$There are many ways to arrange 3 red$ $balls and 9 black balls in a circle$ $so that there are a minimum of 2$ $black balls between 2 adjacent red$ $balls .$ $(a) 180 \times 8! (b) 240 \times 7! (c) 364 \times 6!$ $(d) 282 \times 4! (e) 144 \times 5!$

Question Number 199337 Answers: 1 Comments: 0

Question Number 199333 Answers: 2 Comments: 0

Find the number of integers greater than 6200 that can be formed from the digits 1,3,6,8 and 9, where each digit is used at most once.

$F i n d t h e n u m b e r o f i n t e g e r s g r e a t e r$ $t h a n 6200 t h a t c a n b e f o r m e d f r o m$ $t h e d i g i t s 1, 3, 6, 8 a n d 9, w h e r e e a c h$ $d i g i t i s u s e d a t m o s t o n c e .$

Question Number 199270 Answers: 2 Comments: 4

Question Number 199353 Answers: 0 Comments: 4

What is the probability that in a class of 18 people, there exists exactly a group of exactly 3 people born on the same day of the week?

$W h a t i s t h e p r o b a b i l i t y t h a t i n a c l a s s$ $o f 18 p e o p l e, t h e r e e x i s t s e x a c t l y a$ $g r o u p o f e x a c t l y 3 p e o p l e b o r n o n t h e$ $s a m e d a y o f t h e w e e k ?$

Question Number 199054 Answers: 2 Comments: 0

$x$

Question Number 199031 Answers: 1 Comments: 0

Question Number 198851 Answers: 1 Comments: 12

You want to arrange 17 books on the shelf of a bookstore. The shelf is dedicated to the three Toni Morrison novels published between 1977 and 1987: Song of Solomon, Tar Baby, and Beloved. You have many copies of each, but on the shelf you want an even number of Song of Solomon, at least three copies of Tar Baby, and at most four copies of Beloved. How many different arrangements are possible?

Question Number 198809 Answers: 2 Comments: 0

sum of roots log _3 x + log _3 (2,5) + log _x 9 = 3+ log _x 5

$s u m o f r o o t s$ $\log_{3} x + \log_{3} (2, 5) + \log_{x} 9 = 3 + \log_{x} 5$

Question Number 198576 Answers: 1 Comments: 10

How many numbers with a maximum of 5 digits, greater than 4000, can be formed with the digits 2, 3, 4, 5, 6; if repetition is allowed for 2 and 3 only?

Question Number 198242 Answers: 1 Comments: 3

How many numbers with a maximum of 5 digits, greater than 4000, can be formed with the digits 2, 3, 4, 5, 6; if repetition is allowed for 2 and 3 only?

Question Number 198231 Answers: 1 Comments: 0

Question Number 198022 Answers: 1 Comments: 0

Five letters are selected from

$Five letters are selected from$

Question Number 197564 Answers: 1 Comments: 4

sir...number of 3 digit numbers which are divisible by a)3 b)4 c)6 d)7 e)8 f)9 g)11 when repetetion is 1)Allowwd 2)Not allowed.. kindly help me sir

$s i r . . . n u m b e r o f 3 d i g i t$ $n u m b e r s w h i c h a r e d i v i s i b l e$ $b y$ $a) 3 b) 4 c) 6 d) 7 e) 8 f) 9 g) 11$ $w h e n r e p e t e t i o n i s$ $1) A l l o w w d 2) N o t a l l o w e d . .$ $k i n d l y h e l p m e s i r$

Question Number 197311 Answers: 1 Comments: 0

Prove that _(n+1) C_r = _n C_r + _n C_(r−1)

$Prove that$ $_{n + 1} C_{r} =_{n} C_{r} +_{n} C_{r - 1}$

Question Number 197589 Answers: 1 Comments: 0

how many natural numbers with 4 different digits are divisible by 3?

$h o w m a n y n a t u r a l n u m b e r s w i t h 4$ $d i f f e r e n t d i g i t s a r e d i v i s i b l e b y 3 ?$

Question Number 198283 Answers: 1 Comments: 1

Given the number of consisting of 4 digits abcd such that a≤b≤c≤d is ... (A) 495 (B) 385 (C) 275 (D) 165 (E) 55

$Given the number of consisting$ $of 4 digits abcd such that$ $a ⩽ b ⩽ c ⩽ d is . . .$ $(A) 495 (B) 385 (C) 275$ $(D) 165 (E) 55$

Question Number 196322 Answers: 1 Comments: 0

f^((1/2)) (x)= (d/dx)(∫_0 ^x ((f(x−t))/( (√(πt))))dt) Prove that (f^((1/2)) )^((1/2)) = f ′ At least for f = 1 then f = x

$f^{(1 / 2)} (x) = \frac{d}{d x} (\int_{0}^{x} \frac{f (x - t)}{\sqrt{π t}} d t)$ $P r o v e t h a t {(f^{(1 / 2)})}^{(1 / 2)} = f^{'}$ $A t l e a s t f o r f = 1 t h e n f = x$

Question Number 196143 Answers: 2 Comments: 0

say you have 3 (different) books about mathematics, 4 (different) books about physics and 5 (different) books about chemistry. in how many ways can you arrange them in a shelf such that no two books from the same subject are adjacent?

$s a y y o u h a v e 3 (d i f f e r e n t) b o o k s$ $a b o u t m a t h e m a t i c s, 4 (d i f f e r e n t)$ $b o o k s a b o u t p h y s i c s a n d 5 (d i f f e r e n t)$ $b o o k s a b o u t c h e m i s t r y . i n h o w m a n y$ $w a y s c a n y o u a r r a n g e t h e m i n a s h e l f$ $s u c h t h a t n o t w o b o o k s f r o m t h e s a m e$ $s u b j e c t a r e a d j a c e n t ?$

Question Number 195964 Answers: 1 Comments: 0

the family A has 5 members and the family B has 4 members. there are 6 personsfrom other families. in how many ways can you arrange these 15 persons around a round table such that no member from family A and no member from family B are next to each other?

$t h e f a m i l y A h a s 5 m e m b e r s a n d t h e$ $f a m i l y B h a s 4 m e m b e r s . t h e r e a r e$ $6 p e r s o n s f r o m o t h e r f a m i l i e s .$ $i n h o w m a n y w a y s c a n y o u a r r a n g e$ $t h e s e 15 p e r s o n s a r o u n d a r o u n d t a b l e$ $s u c h t h a t n o m e m b e r f r o m f a m i l y A$ $a n d n o m e m b e r f r o m f a m i l y B a r e$ $n e x t t o e a c h o t h e r ?$

Question Number 195666 Answers: 1 Comments: 2

sequence of string said to be orderly if element index i different to i+1 for example aba has orderly value 2 abab has orderly value 3 abaabb has orderly value 3 if there are 7 a and 13 b example aaaaaaabbbbbbbbbbbbb has orderly value 1 what is the mean of its orderly value for all possible sequences?

$s e q u e n c e o f s t r i n g s a i d t o b e o r d e r l y$ $i f e l e m e n t i n d e x i d i f f e r e n t t o i + 1$ $f o r e x a m p l e$ $a b a h a s o r d e r l y v a l u e 2$ $a b a b h a s o r d e r l y v a l u e 3$ $a b a a b b h a s o r d e r l y v a l u e 3$ $i f t h e r e a r e 7 a a n d 13 b$ $e x a m p l e$ $a a a a a a a b b b b b b b b b b b b b h a s o r d e r l y v a l u e 1$ $w h a t i s t h e m e a n o f i t s o r d e r l y v a l u e$ $f o r a l l p o s s i b l e s e q u e n c e s ?$

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