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Three gentlemen and three ladies are candidates for two vacancies. A voter has to vote for two candidates. In how many ways can one cast his vote?
Answer: Option 4 There are 6 candidates and a voter has to vote for any two of them. So, the required number of ways is, $$\eqalign{ & { = ^6}{{\text{C}}_2} \cr & =...
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In how many ways can six different rings be worn on four fingers of one hand?
Answer: Option 3 Required number of ways, = 6C4 = $$\frac{{6 \times 5}}{2}$$ = 15 ways
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From a total of six men and four ladies a committee of three is to be formed. If Mrs. X is not willing to join the committee in which Mr. Y is a member, whereas Mr.Y is willing to join the committee only if Mrs Z is included, how many such committee are possible?
Answer: Option 4 We first count the number of committee in which (i). Mr. Y is a member (ii). the ones in which he is not case (i): As Mr. Y agrees to...
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A local delivery company has three packages to deliver to three different homes. if the packages are delivered at random to the three houses, how many ways are there for at least one house to get the wrong package?
Answer: Option 2 The possible outcomes that satisfy the condition of at least one house gets the wrong package are: One house gets the wrong package or two houses get the...
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A motorist knows four different routes from Bristol to Birmingham. From Birmingham to Sheffield he knows three different routes and from Sheffield to Carlisle he knows two different routes. How many routes does he know from Bristol to Carlisle ?
Answer: Option 4 Total number of routes from Bristol to Carlisle = (4 x 3 x 2) = 24.
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What will be the output interface A{ public void method(); } class One{ public void method(){ System.out.println("Class One method"); } } class Two extends One implements A{ public void method(){ System.out.println("Class Two method"); } } public class Test extends Two{ public static void main(String[] args){ A a = new Two(); a.method(); } }?
Answer: Option 2 Let'
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Out of eight crew members three particular members can sit only on the left side. Another two particular members can sit only on the right side. Find the number of ways in which the crew can be arranged so that four men can sit on each side.?
Answer: Option 4 Required number of ways, = 3C2 × 4! × 4! = 1728
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There are six teachers. Out of them two are primary teachers and two are secondary teachers. They are to stand in a row, so as the primary teachers, middle teachers and secondary teachers are always in a set . The number of ways in which they can do so, is-?
Answer: Option 2 There are 2 primary teachers. They can stand in a row in P (2, 2) = 2! = 2 × 1 ways = 2 ways ∴ Two middle teachers. They can...
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Four words are given, out of which three are same in a certain way while the rest one is different. Find out the different one.?
Answer: Option 3 Teacher, Principal and Lecturer are connected with teaching profession.
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Four pairs of words are given out of which the words in three pairs are related in some way and words in one pair are different. Find out that pair which is differently related.?
Answer: Option 2 In all the other pairs, one word is the antonym of the other.
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