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A two member committee comprising of one male and one female member is to be constitute out of five males and three females. Amongst the females. Ms. A refuses to be a member of the committee in which Mr. B is taken as the member. In how many different ways can the committee be constituted ?
Answer: Option 4 5C1 × 3C1 - 1 = 15 - 1 = 14
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In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
Answer: Option 3 The word 'LEADING' has 7 different letters. When the vowels EAI are always together, they can be supposed to form one letter. Then, we have to arrange the letters...
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In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
Answer: Option 4 In the word 'CORPORATION', we treat the vowels OOAIO as one letter. Thus, we have CRPRTN (OOAIO). This has 7 (6 + 1) letters of which R occurs 2...
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In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
Answer: Option 3 There are 6 letters in the given word, out of which there are 3 vowels and 3 consonants. Let us mark these positions as under: (1) (2) (3) (4)...
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In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?
Answer: Option 3 In the word 'MATHEMATICS', we treat the vowels AEAI as one letter. Thus, we have MTHMTCS (AEAI). Now, we have to arrange 8 letters, out of which M occurs...
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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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A bird shooter was asked how many birds he had in the bag. He replied that there were all sparrows but six, all pigeons but six, and all ducks but six. How many birds he had in the bag in all?
Answer: Option 1 There were all sparrows but six' means that six birds were not sparrows but only pigeons and ducks. Similarly, number of sparrows + number of ducks = 6...
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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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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 groups of letters are given, Three of them are alike in a certain way while one is different. Choose the one which is different.?
Answer: Option 4 In the other groups, the first letter is four letter ahead from the second letter and the third letter is three letters ahead from the first letter.
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