NDA2022MathematicsBasics of MathematicsActual
Consider the following statements : 1. n! 3! is divisible by 6 , where n 3 2. n! 3! +3 is divisible by 7 , where n 3 Which of the above statements is/are correct?
Options
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Correct answer
D. Neither 1 nor 2
Step-by-step solution
Statement 1 Let n=4 n ! 3! = 4! 3! =4 is not divisible by 6 Statement 2 Let n=5 n ! 3! +3= 5! 3! +3=5.4+3=23 is not divisible by 7 .