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Category: Permutation and Combination

On-the-modified-chess-board-10-10-Amit-and-Suresh-two-persons-which-start-moving-towards-each-other-Each-person-moving-with-same-constant-speed-Amit-can-move-only-to-the-right-and-upwards-along-t

Question Number 22041 by Tinkutara last updated on 10/Oct/17 Onthemodifiedchessboard10×10,AmitandSureshtwopersonswhichstartmovingtowardseachother.Eachpersonmovingwithsameconstantspeed.AmitcanmoveonlytotherightandupwardsalongthelineswhileSureshcanmoveonlytotheleft$$\mathrm{or}\:\mathrm{downwards}\:\mathrm{along}\:\mathrm{the}\:\mathrm{lines}\:\mathrm{of}\:\mathrm{the} \

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} \