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Home / Doubts and Solutions/JEE/Mathematics

How many numbers greater than 40000 can be formed using the digits 1,2,3,4 and 5 if each is used only once in a number?

Asked by neeraj.unnao 26th December 2016, 10:46 PM
Answered by Expert
Answer:
begin mathsize 18px style The space given space digits space are space 1 comma space 2 comma space 3 comma space 4 space and space 5 space which space are space 5 space in space number.
As space the space number space 40000 space has space five space digits space and space the space numbers space greater space than space 40000 space are space
to space be space formed space by space using space each space of space the space given space digit space only space once comma
the space numbers space of space only space five space digits space are space to space be space formed.
Ten space thousands space place space can space be space filled space up space by space any space of space the space digits space 4 space or space 5 space in space 2 space different space ways.
Remaining space 4 space places space can space be space filled space up space by space the space remaining space 4 space digits space in space to the power of 4 straight P subscript 4 space ways.
rightwards double arrow The space required space number space of space numbers equals 2 cross times space to the power of 4 straight P subscript 4 equals 2 cross times 4 factorial equals 2 cross times 4 cross times 3 cross times 2 cross times 1 equals 48 end style
Answered by Expert 27th December 2016, 10:13 AM
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