Q. 24.7( 6 Votes )

Prove that 9P3 + 3 × 9P2 = 10P3.

Answer :

To Prove: 9P3 + 3 × 9P2 = 10P3


Formula Used:


Total number of ways in which n objects can be arranged in r places (Such that no object is replaced) is given by,


nPr


The equation given below needs to be proved i.e


9P3 + 3 × 9P2 = 10P3.


+


(9 × 8 × 7) + (3 × 9 × 8) = 10 × 9 × 8


10 × 9 × 8 = 10 × 9 × 8


Hence, proved.


9P3 + 3 × 9P2 = 10P3.


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