Related InterviewSolutions

• In how many ways can the letters of the word SUCCESS be arranged so that all Ss are together
• In how many ways 4 mathematics books, 3 physics books, 2 chemistry books and 1 biology book can be arranged on a shelf so that all books of the same subjects are together.
• How many ways a committee of six persons from 10 persons can be chosen along with a chair person and a secretary?
• If Pr stands for rPr then the sum of the series 1 + P1 + 2P2 + 3P3 + … + nPn is …..(a) Pn + 1 (b) Pn + 1 – 1 (c) Pn - 1 + 1(d) (n + 1)P(n - 1)
• If a2 – aC2 = a2 – aC4 then the value of ‘a’ is ..... (a) 2 (b) 3 (c) 4 (d) 5
• Use induction to prove that 5n + 1 + 4 × 6n when divided by 20 leaves a remainder 9, for all natural numbers n.
• Use induction to prove that 10n + 3 × 4n + 2 + 5, is divisible by 9, for all natural numbers n.
• The product of r consecutive positive integers is divisible by …..(a) r! (b) (r – 1)! (c) (r + 1)! (d) r!
• n3 – n is divisible by 6, for each natural number n ≥ 2
• How many strings can be formed using the letters of the word LOTUS if the word(i) either starts with L or ends with S?(ii) neither starts with L nor ends with S?