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Permutations and Combinations

Short Answer Type

201. From the letters of the word ‘GLORJTAME’ how many words can be formed using 3 consonants and 2 vowels?

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202. There are 21 consonants and 5 vowels in English alphabet. How many words can be formed using 3 consonants and 2 vowels?

Solution not provided.

Ans. 1596000

99 Views

Long Answer Type

203. A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has (i) no girl (ii) at least one boy and one girl (iii) at least 3 girls.

109 Views

Short Answer Type

204. From a class of 12 boys and 10 girls, 10 students are to be choosen for a competition, including at least 4 boys and 4 girls. The two girls who won the prize last year should be included. In how many ways can the selection be made?

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205. Fifteen persons meet in a room and each shake hands with all others. Find number of hand shakes.

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Long Answer Type

206. A committee of 6 is to be formed from 8 boys and 6 girls. In how many ways can this be done if it contains (i) 4 girls (ii) atleast 4 girls (iii) at most 4 girls?

86 Views

Short Answer Type

207. In an examination, Sanya has to select 3 questions from each part. There are 5. 7, 4 questions in part I, II and III respectively. What is the number of possible combinations in which she can choose the questions?

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208. How many words with or without meaning of 3 distinct letters of English alphabet are there?

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209. Six multiple choice questions are there in a section of a question paper. First three of the questions have 4 choices each and next 3 have 5 choices each. How many sequences of answers are possible?

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210.

How many 3-digit numbers can be formed without using the digit 0, 2, 3, 4, 5, 6 when:

(a) repetition of digits is not allowed ?

(b) repetition of digits is allowed ?

101 Views