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Permutations & Combinations — practice questions, page 2

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In how many ways can the letters of TELANGANA be arranged?All arrangements of the letters of ROSE are listed in dictionary order. What is the position…In how many ways can 5 boys and 3 girls stand in a row so that no two girls are next to each other?A committee of 5 is to be chosen from 6 men and 5 women. In how many ways can it be done if it may…In how many ways can the letters of NUMBER be arranged so that the vowels occupy only the odd…How many rectangles (including squares) can be traced along the lines of the grid shown?How many 5-letter words, each with 3 different consonants and 2 different vowels, can be formed…Town X to town Y has 3 bus routes and Y to Z has 4 train routes. In how many ways can a person go…How many 5-digit numbers divisible by 5 can be formed from the digits 0, 1, 2, 3, 4, 5 without…Four different prizes are to be given to four students, one prize each. In how many ways can this…Priya owns 7 different shirts and 4 different jackets. In how many ways can she choose one shirt…With repetition allowed, how many 2-digit numbers can be made from the digits 2, 4, 6 and 8?A housing society of 9 members elects a president and a secretary (different people). How many…Seven runners race and there are no ties. In how many ways can the gold, silver and bronze medals…How many words, with or without meaning, can be formed using all the letters of INDIA?Digits may repeat. How many 4-digit numbers have every digit odd?Six different chocolates are to be given to two children, Aman and Babli. A child may get any…Without repeating a digit, how many 3-digit numbers can be formed from 0, 1, 2, 3 and 4?Harish has 7 friends. In how many ways can he invite one or more of them to dinner?Four boys and four girls sit in a row of 8 seats so that boys and girls alternate. How many…From 6 consonants and 3 vowels, words are made using 3 different consonants and 2 different…In how many arrangements of the letters of BALLOON do the two L's stand together?Five Indian and five foreign delegates sit around a round table so that no two Indians are…Ten different books are to be tied into two bundles of 5 books each. In how many ways can this be…How many different 4-letter arrangements can be made from the letters of the word ASSAM?

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