A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?
Answer: C
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A trekking group is to be formed having 6 members. They are to be selected from 3 girls, 4 boys and 5 teachers. In how many ways can the group be formed so that there are 3 teachers and 3 boys or 2 girls and 4 teachers?
Answer: A
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In how many ways can live boys and three girls sit in a row such that all boys sit together?
Answer: C
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The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
Answer: B
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4 members form a group out of total 8 members.
(i) In how many ways it is possible to make the group if two particular members must be included.
(ii) In how many ways it is possible to make the group if two particular members must not be included?
Answer: B
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In a colony, there are 55 members. Every member posts a greeting card to all the members. How many greeting cards were posted by them?
Answer: C
First player can post greeting cards to the remaining 54 players in 54 ways. Second player can post greeting card to the 54 players. Similarly, it happens with the rest of the players. The total numbers of greeting cards posted are
54 + 54 + 54 …
54 (55times) = 54 x 55 = 2970.
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There are 30 people in a party. If everyone is to shake hands with one another, how many hand shakes are possible?
Answer: D
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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?
Answer: B
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Mayur travels from Mumbai to Jammu in 7 different ways. But he is allowed to return to Mumbai by any way except the one he used earlier. In how many ways can he complete his journey?
Answer: B
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Find the sum of all four digit numbers that can be formed by the digits 1, 3, 5, 7, 9 without repetition.
Answer: B
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