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The number of ordered pairs (m,n), where...

The number of ordered pairs (m,n), where m, n `in` {1,2,3, …..,50}, such that `6^(m)+9^(n)` is a multiple of 5 is -

A

1250

B

2500

C

625

D

500

Text Solution

Verified by Experts

The correct Answer is:
A
`{:(" "6^(m)+9^(n),),(6^(1)=6,9^(1)=9),(6^(2)=6,9^(1)=1),(6^(3)=6,9^(3)=9),(6^(4)=6,9^(4)=1):}`
m can be any value and n will be odd number then sum is multiple of 5 `50xx25=1250`
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