Discrete Mathematics MCQs | Page - 19

Q. 181) A number lock contains 6 digits. How many different zip codes can be made with the digits 0–9 if repetition of the digits is allowed upto 3 digits from the beginning and the first digit is not 0?

Q. 182) In how many ways can 10 boys be seated in a row having 28 seats such that no two friends occupy adjacent seats?

Q. 183) How many ways can 8 prizes be given away to 7 students, if each student is eligible for all the prizes?

Q. 184) There are 6 equally spaced points A, B, C, D, E and F marked on a circle with radius R. How many convex heptagons of distinctly different areas can be drawn using these points as vertices?

Q. 185) How many ways are there to arrange 7 chocolate biscuits and 12 cheesecake biscuits into a row of 19 biscuits?

Q. 186) If a, b, c, d and e are five natural numbers, then find the number of ordered sets(a, b, c, d, e) possible such that a+b+c+d+e=75.

Q. 187) There are 15 people in a committee. How many ways are there to group these 15 people into 3, 5, and 4?

Q. 188) There are six movie parts numbered from 1 to 6. Find the number of ways in which they be arranged so that part-1 and part-3 are never together.

Q. 189) How many ways are there to divide 4 Indian countries and 4 China countries into 4 groups of 2 each such that at least one group must have only Indian countries?

Q. 190) Find the number of factors of the product 58 * 75 * 23 which are perfect squares.