Question
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.
More Permutation and combination Questions
- There are 3 identical toys and 4 identical books. How many distinct arrangements are possible on a shelf such that all three toys do not appear together?
- There are 14 candidates for 5 post. In how many different ways can be post be filled?
- How many straight lines can be formed from 9 points out of which 4 are colinear?
- Using all the letters of the word IMPACT, how many words start with a vowel but end with a consonant?
- Among a set of 4 black balls and 3 white balls, how many selections of 3 balls can be made such that at least 2 of them are black balls?
- A group consists of 7 boys and 12 girls. In how many ways can 3 boys and 5 girls be selected from the group?
- From the letters of BALLOON, how many “words” can be formed if all the vowels stay together?
- A committee of 5 members is to be formed out of 6 men and 4 women. In how many ways can a committee consisting of atleast 1 woman be formed?
- In how many ways can the letters of the word TERRORISTS be arranged by taking 4 letters at a time?
- Using all the letters of the word CANOER, how many words start with a vowel but end with a consonant?
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