Question
A committee of 4 people is to be formed from a group of 10 individuals. If 2 specific individuals refuse to work together, how many different committees can be formed?
More Permutation and combination Questions
- Find the number of ways to arrange each letter of the word 'RECREATION' such that all the vowels always come together.
- 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.
- In how many different ways can the letters of the word ‘FLOWER’ be arranged in such a way that the vowels occupy only the odd positions?
- 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?
- A group consists of 6 boys and 8 girls. In how many ways can 2 boys and 3 girls be selected from the group?
- In how many ways can a group of 2 boys and 2 girls be made out of a total of 6 boys and 4 girls?
- In how many different ways can the letters of the word “DISCHARGE” be arranged in such a way that the vowels always come together?
- How many four-letter words without repetition having exactly two vowels can be formed by using the letters of the word "VINTAGER"?
- A group consists of 7 boys and 12 girls. In how many ways can 3 boys and 5 girls be selected from the group?
- Using all the letters of the word IMPACT, how many words start with a vowel but end with a consonant?
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