Question
Six dancers are to be lined up for a stage entry. Among them, three are from the same team and must not be adjacent. How many valid line-ups are possible?
More Permutation and combination Questions
- How many four-letter words without repetition having exactly two vowels can be formed by using the letters of the word "NATURES"?
- History books are always together and also Geography books are always together?
- A team of 7 researchers is to be formed from 6 biologists and 4 chemists. Find the number of ways to form the team if it must include at least 5 biologists...
- In how many different ways can the letter of the word CHESTNUT is arranged so that vowels always occur together?
- A letter is randomly selected from the word "DETACHMENT." What is the probability that the selected letter is a vowel?
- In how many different ways can the letters of word ‘PUMPKIN’ be arranged?
- From 7 persons A, B, C, D, E, F and G, how many different committees of 3 persons can be formed if A must be included but B must not be included?
- In how many different ways can 6 boys and 3 girls to be seated in a row such that all the boys seated together and all the girls seated together?
- Find the number of words that can be formed by using all letters of the word 'TANGLE', if it starts with letter G and end with letter A.
- In a group of 9 boys and 6 girls, 5 students have to be selected. In how many ways it can be done so that only 2 boys are included.
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