PERMUTATION

PERMUTATION

1. nPr=n!/(n-r)!

   • 1.SIMPLE
     • GOD=3!=6 CHAIR=5!=120 VISUAL=6!=720
     • APPLE=5!/2!=120/2=60 PROMOTION=9!/3!=60480 ATTEMPT=7!/3!=840
     • PREPARED=8!/(2!*2!*2!)=5040 ENGINEERING=11!/(3!*3!*2!*2!)=2,77,200
   • 2.VOWELS TOGETHER
     • DAUGHTER=DGHTR(AUE)=6!*3!=4320 DIRECTOR=DRCTR(IEO)=(6!*3!)/2!=2160
   • 3.VOWELS NEVER TOGETHER
     • EXTRA=XTR(EA)=5!-4!*2!=120-48=72 APPLE=PPL(AE)=5!/2!-(4!*2!)/2!=60-24=36
   • 4.CIRCULAR PERMUTATION
     • (N-1)!
   • 5.OTHERS
     • HOW MANY 3 DIGIT NUMBER WE CAN FORM USING THE DIGITS 2,3,4,5,6?
       • nPr=n!/(n-r)! =5P3=5!/2!=60

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