Q)How many numbers greater than four millions (4000000) can be formed with the digits 2,3,0,3,4,2,5?
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Asked by araima2001 | 30th Nov, 2016, 10:45: AM

Expert Answer:

begin mathsize 18px style For space the space numbers space to space be space greater space than space four space millions space left parenthesis 4000000 right parenthesis comma space 2 comma 3 comma 0 comma 3 comma 4 comma 2 comma 5
the space numbers space have space to space begin space with space either space 4 space or space 5. space
Starting space with space 4 comma space we space get space space space
fraction numerator 6 factorial over denominator 2 factorial 2 factorial end fraction equals 720 over 4 equals 180 space..... left parenthesis Since space 3 space appears space twice space and space 2 space appears space twice right parenthesis
Starting space with space 5 comma space we space get
fraction numerator 6 factorial over denominator 2 factorial 2 factorial end fraction equals 180 space..... left parenthesis Since space 3 space appears space twice space and space 2 space appears space twice right parenthesis
So comma space the space total space of space the space required space numbers equals 360 end style

Answered by Rebecca Fernandes | 30th Nov, 2016, 02:23: PM

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