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Two digit numbers are formed using the d...

Two digit numbers are formed using the digits 0,1,2,3,4,5 without repetition of the digits.
Condition for event A : The number formed is even.
Condition for event B : The number formed is divisible by 3.
Comdition for event C: The number formed is greater than 50.

Text Solution

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As we have to form two-digit numbers, 0 cannot be at tens place.
"The sample space"
`S={10,12,13,14,15,20,21,22,23,24,25,30,31,32,34,35,40,41,42,43,45,50,51,52,53,54}`
`thereforen(S)=25.`
(i) Condition for event A : The number formed is even.
`therefore A={10,12,14,20,24,30,32,34,40,42,50,52,54}`
`thereforen(A)=13.`
(ii) Condition for event B : The number is divisible by 3.
`thereforeB={12,15,21,24,30,42,45,51,54}`
`thereforen(B)=9.`
(iii) Condition for event C : The number is greater than 50.
`thereforeC={51,52,53,54}`
`thereforen(C)=4.`
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