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How many vehicle registration plate numbers can be formd with digits 1,2,3,4,5 (no digit being repeated)if it's given that registration number can have 1 to 5 digits ?

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TCS Other Question

If 28a + 30b+ 31c=365, find the value of a+b+c, if a, b, and c are natural numbers. There was a star mark question. 8,9,7,6.... Series is such that if you add first 2 numbers of the series the third one will be the unit digit of the added sum. We have to fine the minimum number of terms n such that S(n)>2000. Only this much i remember. I calculated it and the answer was 520.