math test

Question: Find n. Answer: i) ii..

Question: When n = 5 and r = 2, find the values of Answer: i) ii) ..

Question: Convert the following into factorials: i) 5.6.7.8.9.10 ii) 4.6.8.10.12 Answer: i) ii) ..

Question: Answer: ..

Question: Find n if P(n,4) = 20P(n,2) Answer: ..

Question: Answer: i. The value of C(n, 25) = C(25, 25) = 1 ii..

Question: Answer: Aliter: ..

Question: A candidate is required to answer 6 out of 10 questions, which are divided into two groups, each containing 5 questions, and he is not permitted to attempt more than 4 from each group. In how many ways can he make his choice? Answer: ..

Question: vi) (n! + 1) is not divisible by any natural number between 2 and n. vii) Simplify Answer: ..

Question: Prove that n!(n + 2) = n! + (n + 1)!. Answer: L.H.S = n!(n + 2) = n![(n+1)+1] ..