Permutation and Combination – Page 21

If-n-P-r-n-C-r-1-5-find-the-value-of-r-

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Question Number 49982 by pieroo last updated on 12/Dec/18 $If \frac{n_{P_{r}}}{n_{C_{r}}} - 1 = 5, find the value of r$ Answered by ajfour last updated on 13/Dec/18 $$\:^{{n}} {P}_{{r}}…

how-many-6-digit-numbers-exist-which-are-divisible-by-11-and-have-no-repeating-digits-

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Question Number 115408 by mr W last updated on 25/Sep/20 $h o w m a n y 6 d i g i t n u m b e r s e x i s t$ $w h i c h a r e d i v i s i b l e b y 11 a n d h a v e n o$ $r e p e a t i n g d i g i t s ?$ Answered by Olaf last updated on 26/Sep/20 $$\mathrm{N}\:=\:{a}_{\mathrm{5}}…

Question-115387

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Question Number 115387 by bemath last updated on 25/Sep/20 Commented by bemath last updated on 25/Sep/20 $p = \frac{^{8} C_{4} \times! 4}{8!} = \frac{\frac{8!}{4! . 4!} \times 9}{8!} = \frac{9}{576}$ Commented by…

H-n-k-1-n-1-k-show-that-H-2n-H-n-k-1-n-1-2k-1-1-2k-

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Question Number 180899 by alcohol last updated on 19/Nov/22 $H_{n} = \underset{k = 1}{\sum^{n}} \frac{1}{k}$ $s h o w t h a t H_{2 n} - H_{n} = \underset{k = 1}{\sum^{n}} (\frac{1}{2 k - 1} - \frac{1}{2 k})$ Answered by Frix last…

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-

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Question Number 180890 by Tawa11 last updated on 18/Nov/22 We have 7 sets with 2 subsets each (yes and no are the 2 subsets of…

How-many-triangles-can-be-formed-from-non-adjacent-vertices-of-a-regular-polygon-that-it-angle-is-177-

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Question Number 180773 by Acem last updated on 17/Nov/22 $H o w m a n y t r i a n g l e s c a n b e f o r m e d f r o m$ $n o n - a d j a c e n t v e r t i c e s o f a r e g u l a r p o l y g o n$ $t h a t i t a n g l e i s 177^{°} ?$ Answered by mr W last updated on 17/Nov/22…

2-women-and-4-men-will-sit-on-the-8-available-seats-and-surround-the-round-table-The-many-possible-arrangements-of-them-sitting-if-they-sat-randomly-

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Question Number 115230 by bemath last updated on 24/Sep/20 $2 w o m e n a n d 4 m e n w i l l s i t o n t h e$ $8 a v a i l a b l e s e a t s a n d s u r r o u n d$ $t h e r o u n d t a b l e . T h e m a n y p o s s i b l e$ $a r r a n g e m e n t s o f t h e m s i t t i n g$ $i f t h e y s a t r a n d o m l y$ Commented by mr W last…

1-Given-P-n-1-2n-1-P-n-2n-1-3-5-find-n-2-in-how-many-ways-can-6-persons-stand-in-a-queue-3-how-many-different-4-letter-words-can-be-formed-by-using-letters-of-EDUCATIO

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Question Number 115170 by bobhans last updated on 24/Sep/20 $(1) G i v e n \frac{P_{n - 1}^{2 n + 1}}{P_{n}^{2 n - 1}} = \frac{3}{5}, f i n d n = ?$ $(2) i n h o w m a n y w a y s c a n 6 p e r s o n s$ $s t a n d i n a q u e u e ?$ $(3) h o w m a n y d i f f e r e n t 4 l e t t e r w o r d s$ $c a n b e f o r m e d b y u s i n g l e t t e r s o f$ $${EDUCATION}\:{using}\:{each}\:{letter}\:{at}\: \…

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-

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Question Number 180585 by mr W last updated on 14/Nov/22 $t h e r e a r e 5 p o i n t s o n a l i n e a n d 4$ $p o i n t s o n a p a r a l l e l l i n e .$ $h o w m a n y q u a d r i l a t e r a l s c a n b e$ $f o r m e d w i t h t h e s e p o i n t s a s$ $v e r t r i c e s ?$ Answered by nikif99 last…

Find-number-of-4-letter-words-which-can-be-formed-using-the-letters-of-the-word-ALLAHABAD-such-that-NO-repetition-of-letter-and-word-should-start-either-from-H-or-ends-with-D-

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Question Number 49482 by rahul 19 last updated on 07/Dec/18 $F i n d n u m b e r o f 4 - l e t t e r w o r d s w h i c h$ $c a n b e f o r m e d u s i n g t h e l e t t e r s o f$ $t h e w o r d^{'} {A L L A H A B A D}^{'} s u c h t h a t :$ $N O r e p e t i t i o n o f l e t t e r a n d w o r d s h o u l d$ $s t a r t “ {e i t h e r}^{″} f r o m H “ {o r}^{″} e n d s w i t h D ?$ Commented by tanmay.chaudhury50@gmail.com last…

Category: Permutation and Combination