Permutation and Combination – Page 18

In-how-many-ways-can-the-letters-of-the-word-LEVITATE-be-arranged-if-the-vowels-must-not-be-next-to-each-other-

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Question Number 118822 by Don08q last updated on 20/Oct/20 $In how many ways can the letters of$ $the word L E V I T A T E be arranged if$ $the vowels must not be next to each$ $other$ Answered by benjo_mathlover last updated on 20/Oct/20…

How-many-sets-of-3-numbers-each-can-be-formed-from-the-numbers-1-2-3-20-if-no-two-consecutive-numbers-are-to-be-in-a-set-

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Question Number 118694 by benjo_mathlover last updated on 19/Oct/20 $H o w m a n y s e t s o f 3 n u m b e r s e a c h c a n$ $b e f o r m e d f r o m t h e n u m b e r s {1, 2, 3, \dots, 20} i f n o$ $t w o c o n s e c u t i v e n u m b e r s a r e t o b e i n a s e t ?$ Answered by bemath last updated on 19/Oct/20 $$\Rightarrow\: $(\begin{matrix} 18 \\ 3 \end{matrix})$ \:=\:\frac{\mathrm{18}×\mathrm{17}×\mathrm{16}}{\mathrm{3}×\mathrm{2}×\mathrm{1}}\:=\:\mathrm{3}×\mathrm{17}×\mathrm{16}=\mathrm{816} \…

Question-53043

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Question Number 53043 by Tinkutara last updated on 16/Jan/19 Commented by tanmay.chaudhury50@gmail.com last updated on 17/Jan/19 $e x c e l l e n t_{} q u e s t i o n \dots$ Answered by mr W last…

Question-118555

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Question Number 118555 by bramlexs22 last updated on 18/Oct/20 Answered by benjo_mathlover last updated on 18/Oct/20 $S t a r t w i t h t h e 4 n o n - r e d s l o t s, t h e n w e$ $h a v e (\begin{matrix} 5 \\ 2 \end{matrix}) w a y s i n w h i c h w e c a n a s s i g n e d o f$ $i n s e r t i n g t h e r e d s l o t s t o g e t a s e q u e n c e o f$ $8 c a t e g o r i s e d s l o t s w h e r e t h e r e d s l o t s$ $${are}\:{all}\:{apart}\:.\:{So}\:{the}\:{number}\:{of}\:{ways}\:{is}\:…

1-solve-the-equation-x-49-50-x-50-49-49-x-50-50-x-49-2-How-many-numbers-from-12-to-12345-inclusive-have-digits-which-are-consecutive-an-in-increasing-order-reading

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Question Number 118489 by bramlexs22 last updated on 18/Oct/20 $(1) s o l v e t h e e q u a t i o n \frac{x - 49}{50} + \frac{x - 50}{49} = \frac{49}{x - 50} + \frac{50}{x - 49}$ $(2) H o w m a n y n u m b e r s f r o m 12 t o 12345$ $i n c l u s i v e h a v e d i g i t s w h i c h a r e$ $c o n s e c u t i v e a n i n i n c r e a s i n g o r d e r,$ $r e a d i n g f r o m l e f t t o r i g h t ?$ Answered by benjo_mathlover last updated…

If-all-the-words-with-or-without-meaning-are-written-using-the-letters-of-the-word-QUEEN-and-are-arranged-as-in-English-dictionary-What-is-the-position-of-the-word-QUEEN-a-44th-b-45th-c-46th-d-47th-

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Question Number 52381 by Necxx last updated on 07/Jan/19 $I f a l l t h e w o r d s w i t h o r w i t h o u t$ $m e a n i n g a r e w r i t t e n u s i n g t h e$ $l e t t e r s o f t h e w o r d Q U E E N a n d$ $a r e a r r a n g e d a s i n E n g l i s h$ $d i c t i o n a r y . W h a t i s t h e p o s i t i o n$ $o f t h e w o r d Q U E E N ?$ $a) 4 4 t h b) 45 t h c) 46 t h d) 47 t h$ Answered…

The-sum-of-the-digits-in-the-unit-place-of-all-four-digit-numbers-formed-using-the-numbers-3-4-5-andL-6-without-repetition-is-a-432-b-108-c-36-d-18-

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Question Number 52379 by Necxx last updated on 07/Jan/19 $T h e s u m o f t h e d i g i t s i n t h e u n i t$ $p l a c e o f a l l f o u r d i g i t n u m b e r s$ $f o r m e d u s i n g t h e n u m b e r s 3 4 5 a n d L$ $6 w i t h o u t r e p e t i t i o n i s$ $a) 4 32 b) 108 c) 36 d) 18$ Answered by tanmay.chaudhury50@gmail.com last updated…

8-digit-numbers-are-formed-using-1-1-2-2-2-3-4-4-The-number-of-such-numbers-in-which-the-odd-digits-do-not-occupy-odd-places-is-a-160-b-120-c-60-d-48-

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Question Number 52278 by Necxx last updated on 05/Jan/19 $8 d i g i t n u m b e r s a r e f o r m e d u s i n g$ $1 1 2 2 2 3 4 4 . T h e n u m b e r o f s u c h$ $n u m b e r s i n w h i c h t h e o d d d i g i t s$ $d o n o t o c c u p y o d d p l a c e s i s$ $a) 1 60 b) 120 c) 60 d) 48$ Answered by tanmay.chaudhury50@gmail.com last updated…

An-8-digit-number-divisible-by-9-is-to-be-formed-using-digits-from-0-to-9-without-repeating-the-digits-The-number-of-ways-in-which-this-can-be-done-is-a-72-7i-b-18-7i-c-40-7i-d-36-7i-please-I-m

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Question Number 52276 by Necxx last updated on 05/Jan/19 $A n 8 d i g i t n u m b e r d i v i s i b l e b y 9 i s$ $t o b e f o r m e d u s i n g d i g i t s f r o m$ $0 t o 9 w i t h o u t r e p e a t i n g t h e d i g i t s .$ $T h e n u m b e r o f w a y s i n w h i c h t h i s$ $c a n b e d o n e i s ?$ $a) 7 2 (7 i) b) 18 (7 i) c) 40 (7 i) d) 36 (7 i)$ $${please}\:{I}\:{mean}\:\boldsymbol{{factorial}}\:{by}\:{i}.{The} \…

Find-the-number-of-all-5-digit-numbers-x-1-x-2-x-3-x-4-x-5-with-x-1-x-2-x-3-x-4-x-5-

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Question Number 117708 by mr W last updated on 13/Oct/20 $F i n d t h e n u m b e r o f a l l 5 d i g i t$ $n u m b e r s x_{1} x_{2} x_{3} x_{4} x_{5} w i t h$ $${x}_{\mathrm{1}} \geqslant{x}_{\mathrm{2}} \geqslant{x}_{\mathrm{3}} \geqslant{x}_{\mathrm{4}} \geqslant{x}_{\mathrm{5}} .…

Category: Permutation and Combination