Test: Permutations and Combinations- 2 - CA Foundation MCQ

5 persons are sitting in a round table in such way that Tallest Person is always on the right– side of the shortest person; the number of such arrangements is

The value of ¹²C₄ + ¹²C₃ is

If ⁿp_r = 336 and ⁿC_r = 56, then n and r will be

If ¹⁸C_r = ¹⁸C_r+2, the value of ^rC₅ is

If ⁿc_r–1 = 56, ⁿc_r = 28 and ⁿc_r+1 = 8, then r is equal to

A person has 8 friends. The number of ways in which he may invite one or more of them to a dinner is.

The number of ways in which a person can chose one or more of the four electrical appliances : T.V, Refrigerator, Washing Machine and a cooler is

 If ⁿc₁₀ = ⁿc₁₄, then ²⁵c_n is

Out of 7 gents and 4 ladies a committee of 5 is to be formed. The number of committees such that each committee includes at least one lady is

If ²⁸C_2r : ²⁴ C_{2r –4} = 225 : 11, then the value of r is

The number of diagonals in a decagon is

There are 12 points in a plane of which 5 are collinear. The number of triangles is

The number of straight lines obtained by joining 16 points on a plane, no twice of them being on the same line is

At an election there are 5 candidates and 3 members are to be elected. A voter is entitled to vote for any number of candidates not greater than the number to be elected. The number of ways a voter choose to vote is

Every two persons shakes hands with each other in a party and the total number of hand shakes is 66. The number of guests in the party is

The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is

The number of ways in which 12 students can be equally divided into three groups is

The number of ways in which 15 mangoes can be equally divided among 3 students is

8 points are marked on the circumference of a circle. The number of chords obtained by joining these in pairs is

A committee of 3 ladies and 4 gents is to be formed out of 8 ladies and 7 gents. Mrs. X refuses to serve in a committee in which Mr. Y is a member. The number of such committees is

 If ⁵⁰⁰C₉₂ = ⁴⁹⁹C₉₂+ ⁿC₉₁ then x is

The Supreme Court has given a 6 to 3 decision upholding a lower court; the number of ways it can give a majority decision reversing the lower court is

Five bulbs of which three are defective are to be tried in two bulb points in a dark room.Number of trials the room shall be lighted is

The letters of the words CALCUTTA and AMERICA are arranged in all possible ways.The ratio of the number of there arrangements is

The ways of selecting 4 letters from the word EXAMINATION is

The number of different words that can be formed with 12 consonants and 5 vowels by taking 4 consonants and 3 vowels in each word is

Eight guests have to be seated 4 on each side of a long rectangular table.2 particular guests desire to sit on one side of the table and 3 on the other side. The number of ways in which the sitting arrangements can be made is