Question 2
= (32.16.8.4.2)(33.31.30.18.17.15.14.13.12.11.10....3.1) = (2 5 .2 4 .2 3 .2 2 .2 1 )(33.31.30.....3.1) which is divisible by 2 1 5 . vi) (n! + 1) is not divisible by any natural number between 2 and ..
= (32.16.8.4.2)(33.31.30.18.17.15.14.13.12.11.10....3.1) = (2 5 .2 4 .2 3 .2 2 .2 1 )(33.31.30.....3.1) which is divisible by 2 1 5 . vi) (n! + 1) is not divisible by any natural number between 2 and ..Question 1
Question: Find n. Answer: i) ii..
Question: Find n. Answer: i) ii..Question 4
Question: When n = 5 and r = 2, find the values of Answer: i) ii) ..
Question: When n = 5 and r = 2, find the values of Answer: i) ii) ..Question 7
Question: Answer: ..
Question: Answer: ..Question 9
Question: Answer: ..
Question: Answer: ..Question 2
Question: Answer: i. The value of C(n, 25) = C(25, 25) = 1 ii..
Question: Answer: i. The value of C(n, 25) = C(25, 25) = 1 ii..Question 4
Question: Answer: Aliter: ..
Question: Answer: Aliter: ..Question 3
Question: Answer: ..
Question: Answer: ..Question 6
Question: Find n, if P(n-1,3): P(n+1,3):: 5 : 12. Answer: n = 8 (as n cannot be a fraction..
Question: Find n, if P(n-1,3): P(n+1,3):: 5 : 12. Answer: n = 8 (as n cannot be a fraction..Theorem
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.. Result
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