Permutation and Combination – Page 15

Question-121829

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Question Number 121829 by bemath last updated on 12/Nov/20 Answered by mr W last updated on 12/Nov/20 $n o e m p t y : 3! = 6$ $o n e e m p t y : 3 \times 2 \times 3 = 18$ $\Rightarrow t o t a l l y 24$ Commented…

In-how-many-ways-can-4-boys-and-3-girls-stand-in-a-straight-line-a-if-there-are-no-restrictions-b-if-the-boys-stand-next-to-each-other-

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Question Number 56212 by pieroo last updated on 12/Mar/19 $In how many ways can 4 boys and 3 girls$ $stand in a straight line$ $a . if there are no restrictions$ $b . if the boys stand next to each other$ Answered by tanmay.chaudhury50@gmail.com last updated on 12/Mar/19…

Find-the-probability-that-a-student-arranging-the-letters-of-the-word-MATHEMATICS-will-make-all-the-vowels-be-together-in-any-arrangement-he-or-she-does-

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Question Number 56025 by pieroo last updated on 08/Mar/19 $Find the probability that a student$ $arranging the letters of the word$ $MATHEMATICS will make all the$ $vowels be together in any arrangement$ $he or she does .$ Answered by tanmay.chaudhury50@gmail.com last updated…

Question-55502

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Question Number 55502 by mr W last updated on 25/Feb/19 Commented by mr W last updated on 25/Feb/19 $a s Q 55468, b u t p a s s w o r d s w i t h 6$ $c h a r a c t e r s .$ Answered by…

Question-55468

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Question Number 55468 by peter frank last updated on 24/Feb/19 Answered by mr W last updated on 25/Feb/19 $t o c h o o s e 4 c h a r a c t e r s t h e r e a r e t h r e e$ $c a s e s :$ $c a s e 1 : t w o l e t t e r s, o n e d i g i t, o n e s y m b o l$ $${to}\:{choose}\:\mathrm{2}\:{letters}\:{there}\:{are}\:{C}_{\mathrm{2}}…

shown-that-n-k-0-n-1-k-k-n-n-k-n-please-help-me-

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Question Number 120954 by cantor last updated on 04/Nov/20 $s h o w n t h a t$ $n! = \underset{k = 0}{\sum^{n}} {(- 1)}^{k} (_{k}^{n}) {(n - k)}^{n}$ $p l e a s e h e l p m e$ Terms of…

what-will-be-the-numbers-of-zeroes-in-the-expension-of-a-100-25-b-100-25-please-help-

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Question Number 55192 by Learner last updated on 19/Feb/19 $w h a t w i l l b e t h e n u m b e r s o f z e r o e s i n t h e e x p e n s i o n o f$ $a) 100! \times 25!$ $b) 100! + 25!$ $p l e a s e h e l p$ Commented by MJS last updated…

How-many-numbers-divisible-by-5-can-be-made-with-the-digits-2-3-4-and-5-where-no-digit-is-being-used-more-than-once-in-each-number-

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Question Number 55119 by pieroo last updated on 17/Feb/19 $How many numbers, divisible by 5, can$ $be made with the digits 2, 3, 4 and 5 where$ $no digit is being used more than once$ $in each number ?$ Commented by Tawa1 last updated on 17/Feb/19…

Question-55115

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Question Number 55115 by aseerimad last updated on 17/Feb/19 Commented by aseerimad last updated on 17/Feb/19 please help.... Commented by mr W last updated on 17/Feb/19…

Show-that-for-n-N-r-0-n-P-r-n-n-e-where-x-denotes-the-greatest-integer-x-and-P-r-n-n-n-r-

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Question Number 55099 by Joel578 last updated on 17/Feb/19 $Show that for n \in N,$ $\underset{r = 0}{\sum^{n}} P_{r}^{n} = ⌊ n! e ⌋$ $where ⌊ x ⌋ denotes the greatest integer ⩽ x$ $and P_{r}^{n} = \frac{n!}{(n - r)!}$ Answered…

Category: Permutation and Combination