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Number System – Factorial, Binomial, Algebraic Formula, Last Two Digits

Q.1. How many zeroes will be there at the end of the expression N = 7 × 14 × 21 × … × 777?
Q.2. What is the units digit of ?
Q.3. What is the remainder when (1! + 2! + 3! + ... 1000!) is divided by 5?
Q.4. Given N is a positive integer less than 31, how many values can n take if (n + 1) is a factor of n!?
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