Related InterviewSolutions

• Thirty members attended a party. If each person shakes hands with every other person exactly once. Then find the number of handshakes made in the party.A. `.^(30)P_(2)`B. `.^(30)C_(2)`C. `.^(29).C_(2)`D. `.^(60)C_(2)`
• In how many ways can we select two vertices in a hexagon?
• How many distinct positive integers are possible with the digits 1,3,5,7 without repetition?
• In a plane there are 12 points, then answer the following questions. (a) Find the number of different straight lines that can be formed by joining these points, when no combination of 3 points are collinear. (b) Find the number of different straight lines that can be formed by joining these points, when 4 of these given points are collinear and no other combination of three points are collinear. (c) Find the number of different triangles that can be formed by joining these points, when no combination of 3 points are collinear.
• Find `.^(n)C_(3)`, if `.^(n)C_(7)=.^(n)C_(4)`.
• Using the digits 0,1,2,5, and 7 how many 4-digit number that are divisible by 5 can be formed if repetition of the digits is not allowed?A. 38B. 46C. 32D. 42
• How many three-digit numbers that are divisible by 5, can be formed, using the digit 0,2,3,5,7, if no digit occurs more than once in each number?A. 10B. 15C. 21D. 25
• Find the number of diagonals of a polygon of 10 sides.
• Using all the letters of the word QUESTION, how many different words can be formed?A. 8!B. 7!C. `7xx7!`D. 9!
• In how many ways can 5 prizes be distributed to 3 students, it each students is eligible for any number of prizes?A. `3^(5)`B. `5^(3)`C. `.^(5)P_(3)`D. `.^(5)C_(3)`