1.

How many numbers between 6000 and 7000 formed with the digits 0, 1, 5,6, 7 and 9 are divisible by 5 if(i) repetition of digits is allowed(ii) repetition of digits is not allowed

Answer»

(i) Unit's place only 0,5 can be placed - 2 ways.

Ten's place all number can be placed - 10 ways.

Hundred's place all number can be placed - 10 ways.

Thousand's place only 6 can be placed - 1 way.

total ways =2×10×10=200.

(ii) Clearly, thousands digit is 6.

Number of numbers with units digit 0=(1×8×7×1)=56

Number of numbers with units digit 5=(1×8×7×1)=56

Required number of numbers=(56+56)=112.



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