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  • 5- digit numbers are to be formed using 2,3,5,7,9 without repeating the digits.If p be the number of such numbers that exceed 20000 and q be the number of those that lie between 30000 and 90000 the

5- digit numbers are to be formed using 2,3,5,7,9 without repeating the digits.If p be the number of such numbers that exceed 20000 and q be the number of those that lie between 30000 and 90000 then p:q is :

Option: 1

6:5  


Option: 2

3:2


Option: 3

4:3


Option: 4

5:3


Answers (1)

best_answer

Number greater than 20000 or p

1st place can be placed with 5 possibilities and second with 4 possibilities and so on

So \underline5 \times \underline4 \times \underline3 \times \underline2 \times \underline1=5 !=P

And

Number greater than 30000 and less than 90000 or q

1st place can be placed with 3 possibilities(3,5,7) and second with 4 possibilities and so on

So \underline3 \times \underline4 \times \underline3 \times \underline2 \times \underline1=5 !=Q

\frac{P}{Q}=\frac{5 !}{3 \times 4 !} \Rightarrow \frac{5 \times 4 !}{3 \times 4!}=\frac53

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chirag

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