Permutations & Combinations Mcqs


Q.  In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?

a. 400
b. 500
c. 600
d. 20


ANSWER: See Answer
 
We can select one boy from 20 boys in 20 ways.

We select one girl from 25 girls in 25 ways
We select a boy and girl in 20 * 25 ways i.e., = 500 ways.
MCQs:  There are two identical red, two identical black, and two identical white balls.In how many different ways can the balls be placed in the cells (Each cell to contain one ball) shown above such that balls of the same colour do not occupy any two consecutive cells?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  Twelve people from a club, by picking lots. One of them will host a dinner for all once in a month. The number of dinners a particular member has to host in one year is________?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A person ordered 5 pairs of black socks and some pairs of brown socks. The price of a black pair was thrice that of a brown pair while preparing the bill the bill clerk inter-changed the number of black and brown pairs by mistake which increased the bill by 100% what was the number of pair of brown socks in the original order?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A two number committee comprising of one male and the female number is to be constituted out of five male and 3 females. Amongst the females, Ms. A refused to be number committee in which Mr.B is taken as the number of how many different ways can the committee be constituted?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A selection is to be made for one post of principal and two posts of vice-principal amongst the six candidates called for the interview only two are eligible for the post of principal while they all are eligible for the post of vice-principal. The number of possible combinations of selectees is___________?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A student has to opt for 2 subjects out of 5 subjects for a course. Namely commerce, economics, statistics, mathematics 1 and Mathematics 2, Mathematics 2 can be offered only if mathematics 1 has also opted. The number of different combinations of two subjects which can be opted is_________?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  2 men and 1 woman board a bus of which 5 seats are vacant, one of these 5 seats is reserved for ladies. A woman may or may not sit on the seat reserved for ladies, In how many different ways can the five seats be occupied by these passengers?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  Three flags each of different colours are available for a military exercise, Using these flags different codes can be generated by waving I. Single flag of different colours II. Any two flags in a different sequence of colours. III. three flags in a different sequence of colours. The maximum number of codes that can be generated is.
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  Three dice (each having six faces with each face having one number from 1 or 6) are ralled. What is the number of possible outcomes such that atleast one dice shows the number 2?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A mixed doubles tennis game is to be played two teams(each consists of one male and one female) There are four married couples. No team is to consist a husband and his wife. What is the maximum number of games that can be played?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  In a question paper, there are four multiple choice type questions, each question has five choices with only one choice for it’s correct answer. What is the total number of ways in which a candidate will not get all the four answers correct?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  In how many different ways can six players be arranged in a line such that two of them, Asim and Raheem are never together?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  Groups each containing 3 boys are to be formed out of 5 boys. A, B, C, D and E such that no group can contain both C and D together. What is the maximum number of such different groups?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A question paper had 10 questions. Each question could only be answered as true(T) of False(F). Each candidate answered all the questions, Yet no two candidates wrote the answers in an identical sequence. How many different sequences of answers are possible?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A group consists of 4 men, 6 women and 5 children. In how many ways can 3 men, 2 women and 3 children selected from the given group?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group?
Category: Mathematics Quizzes,   Published by: teswesm
MCQs:  Find the number of ways of arranging the letters of the word “MATERIAL” such that all the vowels in the word are to come together?
Category: Mathematics Quizzes,   Published by: teswesm