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CBSE Class 11-science Answered

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 | 30 Nov, 2016, 10:45: AM
answered-by-expert 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 | 30 Nov, 2016, 02:23: PM
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