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Category: Permutation and Combination

How-many-5-digit-numbers-from-the-digits-0-1-9-have-i-Strictly-increasing-digits-ii-Strictly-increasing-or-decreasing-digits-iii-Increasing-digits-iv-Increasing-or-decreasing-digit

Question Number 22037 by Tinkutara last updated on 10/Oct/17 Howmany5digitnumbersfromthedigits{0,1,..,9}have?(i)Strictlyincreasingdigits(ii)Strictlyincreasingordecreasingdigits(iii)Increasingdigits(iv)Increasingordecreasingdigits Commented…

Let-n-be-the-number-of-ways-in-which-5-boys-and-5-girls-stand-in-a-queue-in-such-a-way-that-all-the-girls-stand-consecutively-in-the-queue-Let-m-be-the-number-of-ways-in-which-5-boys-and-5-girls-can-

Question Number 21977 by Tinkutara last updated on 08/Oct/17 Letnbethenumberofwaysinwhich5boysand5girlsstandinaqueueinsuchawaythatallthegirlsstandconsecutivelyinthequeue.Letmbethenumberofwaysinwhich5boysand5girlscanstandinaqueueinsuchawaythatexactlyfourgirlsstand$$\mathrm{consecutively}\:\mathrm{in}\:\mathrm{the}\:\mathrm{queue}.\:\mathrm{Then}\:\mathrm{the} \

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

Question Number 21931 by Tinkutara last updated on 07/Oct/17 Thenumberofwaysofdistributingsixidenticalmathematicsbooksandsixidenticalphysicsbooksamongthreestudentssuchthateachstudentgetsatleastonemathematicsbookandatleastonephysicsbookis5.5!k,thenkis Commented…