Question
An examinee is required to answer 7 questions out of 14 questions, which are divided into two groups each containing 7 questions. He is not permitted to answer more than four questions from any group. In how many ways can he answer seven questions?
More Permutation and combination Questions
- How many arrangements are possible from the letters of “ADMINISTRATION” without disturbing the relative order of vowels and consonants?
- Find the quantity of arrangements of the letters of the word INDEPENDENCE if all the vowels always occur together?
- A committee of 5 members is to be selected from 4 girls and 6 boys. Find the number of ways to form team such that the team consists of at most 2 girls.
- How many different nine digit numbers can be formed from the number 66 55 99 222 by rearranging its digits so that the odd digits occupy even positions onl...
- Find the number of ways to arrange each letter of the word 'EDUCATIONAL' such that all the vowels always come together.
- A committee of 4 members is to be formed from 5 men and 4 women such that at least one woman is included. In how many ways can this be done?
- From 7 artists and 6 designers, a team of 9 members is to be selected. In how many ways can this team be formed if it includes at least 6 artists?
- Using all the letters of the word IMPACT, how many words start with a vowel but end with a consonant?
- Using all the letters of the word RELIAN, how many words start with a vowel but end with a consonant?
- In how ways can the selection be made so that a particular member is always included?
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