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# I : The number of five digit numbers that can be formed with 0,1,2,3,5 which are divisible by 5 is 18.II : The sum of all four digit numbers that can be formed with 1,2,3,4 so that no digit being repeated in any number is 66660.Which of the above statements is true?Both I and IINeither I nor IIonly Ionly II

A
only II
B
only I
C
Both I and II
D
Neither I nor II
Solution
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#### Case I: ⇒ last digit =0CI=4!=24Case II ⇒ Last digit =5CII=3×3!=18S=CI+CII=42II ⇒ Sum here isS=3!×[1+2+3+4]×[100+101+102+103]=6×10×[1111]=60×1111S=66660

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