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Q.

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

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a

5 : 4

b

5 : 3

c

8 :3

d

15 : 16

answer is B.

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Detailed Solution

Any number 5-digit formed by 2, 3, 5, 7, 9, exceeds 20000. Therefore, p=5!=120A number will lie between 30000 and 90000 if it begins with 3, 5 or 7 ∴q=(3)(4!).Thus p:q=5:3.

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