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Let n be 4-digit integer in which all th...

Let n be 4-digit integer in which all the digits are different. If x is the number of odd integers and y is the number of even integers, then
a. `x < y`
b. `x>y`
c. `x+y = 4500`
d. `|x-y| = 56`

A

`x lt y`

B

`x gt y`

C

`x+y=4500`

D

`|x-y|=56`

Text Solution

Verified by Experts

The correct Answer is:
A, D
When x is odd
Unit's place filled by 1,3,5,7,9
`thereforex=8xx8xx7xx5=2240`
When x is even
Unit's place filled by 0,2,4,6,8
`thereforey=8xx8xx7xx4+9xx8xx7xx1=2296`
`implies x lt y and |x-y|=56`
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