Permutation and Combination – Page 47

The-number-of-ways-of-distributing-six-identical-mathematics-books-and-six-identical-physics-books-among-three-students-such-that-each-student-gets-atleast-one-mathematics-book-and-atleast-one-physics

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Question Number 21931 by Tinkutara last updated on 07/Oct/17 $The number of ways of distributing six$ $identical mathematics books and six$ $identical physics books among three$ $students such that each student gets$ $atleast one mathematics book and$ $atleast one physics book is \frac{5.5!}{k}, then k$ $is$ Commented…

There-are-8-Hindi-novels-and-6-English-novels-4-Hindi-novels-and-3-English-novels-are-selected-and-arranged-in-a-row-such-that-they-are-alternate-then-no-of-ways-is-

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Question Number 21929 by Tinkutara last updated on 07/Oct/17 $There are 8 Hindi novels and 6 English$ $novels . 4 Hindi novels and 3 English$ $novels are selected and arranged in a$ $row such that they are alternate then$ $no . of ways is$ Commented by mrW1 last updated…

How-many-seven-letter-words-can-be-formed-by-using-the-letters-of-the-word-SUCCESS-so-that-neither-two-C-nor-two-S-are-together-

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Question Number 21917 by Tinkutara last updated on 06/Oct/17 $How many seven letter words can be$ $formed by using the letters of the word$ $SUCCESS so that neither two C nor$ $two S are together ?$ Commented by mrW1 last updated on 07/Oct/17…

Let-a-n-denote-the-number-of-all-n-digit-positive-integers-formed-by-the-digits-0-1-or-both-such-that-no-consecutive-digits-in-them-are-0-Let-b-n-the-number-of-such-n-digit-integers-ending-with-

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Question Number 21913 by Tinkutara last updated on 06/Oct/17 $Let a_{n} denote the number of all n - digit$ $positive integers formed by the digits$ $0, 1 or both such that no consecutive$ $digits in them are 0 . Let b_{n} = the$ $number of such n - digit integers ending$ $with digit 1 and c_{n} = the number of$ $$\mathrm{such}\:{n}-\mathrm{digit}\:\mathrm{integers}\:\mathrm{ending}\:\mathrm{with}…

x-1-x-2-x-3-5-ways-5-1C-3-1-4C-2-6-

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Question Number 21813 by lakshmi.narasimhan last updated on 04/Oct/17 $x_{1} + x_{2} + x_{3} = 5$ $w a y s = 5 - 1 C_{3 - 1} = 4 C_{2} = 6$ Terms of Service Privacy Policy Contact:…

There-are-n-straight-lines-in-a-plane-no-two-of-which-are-parallel-and-no-three-pass-through-the-same-point-Their-point-of-intersection-are-joined-Then-the-number-of-fresh-lines-thus-obtained-is-

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Question Number 21801 by Tinkutara last updated on 04/Oct/17 $There are n straight lines in a plane, no$ $two of which are parallel and no three$ $pass through the same point . Their$ $point of intersection are joined . Then$ $the number of fresh lines thus obtained$ $is$ Terms of Service…

Five-balls-are-to-be-placed-in-three-boxes-Each-can-hold-all-the-five-balls-In-how-many-different-ways-can-we-place-the-balls-so-that-no-box-remains-empty-if-balls-are-different-but-boxes-are-ident

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Question Number 21802 by Tinkutara last updated on 04/Oct/17 $Five balls are to be placed in three$ $boxes . Each can hold all the five balls .$ $In how many different ways can we$ $place the balls so that no box remains$ $empty, if balls are different but boxes$ $are identical ?$ Commented by mrW1…

There-are-n-white-and-n-red-balls-marked-1-2-3-n-The-number-of-ways-we-can-arrange-these-balls-in-a-row-so-that-neighbouring-balls-are-of-different-colours-is-

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Question Number 21799 by Tinkutara last updated on 04/Oct/17 $There are n white and n red balls$ $marked 1, 2, 3, \dots . n . The number of$ $ways we can arrange these balls in a$ $row so that neighbouring balls are of$ $different colours is$ Commented by mrW1 last updated…

The-number-of-integers-which-lie-between-1-and-10-6-and-which-have-sum-of-digits-equal-to-12-is-

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Question Number 21800 by Tinkutara last updated on 04/Oct/17 $The number of integers which lie$ $between 1 and 10^{6} and which have sum$ $of digits equal to 12 is$ Commented by mrW1 last updated on 27/Dec/17 $$\mathrm{For}\:\mathrm{example}\:\mathrm{to}\:\mathrm{find}\:\mathrm{such}\:\mathrm{numbers}…

The-result-of-11-chess-matches-as-win-lose-or-draw-are-to-be-forecast-Out-of-all-possible-forecasts-the-number-of-ways-in-which-8-correct-and-3-incorrect-results-can-be-forecast-is-

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Question Number 21771 by Tinkutara last updated on 03/Oct/17 $The result of 11 chess matches (as win,$ $lose or draw) are to be forecast . Out of$ $all possible forecasts, the number of$ $ways in which 8 correct and 3 incorrect$ $results can be forecast is$ Terms of Service Privacy Policy…

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