Question
Six people out of which 3 are brothers and the rest are strangers are to be seated in a row. Find the number of ways in which all three brothers are not sitting together.
More Permutation and combination Questions
- From the digits 1, 2, 3, 4, 5, 6 and 7, how many 4‑digit even numbers can be formed without repetition?
- Nine boys have to stand in a circle. In how many ways they are to be stand on the circumference of circle?
- How many numbers lie between 2000 and 3000 divisible by 5 can be made with the digits 2, 3, 4, 5, 6, 7 and 8 without repeating any digit?
- In how many different ways can the letters of the word 'REMAINING' be arranged?
- Find the number of ways to arrange each letter of the word 'PROFESSION' such that all the vowels always come together.
- In a group of 5 boys and 4 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 ways can the letters of the word ‘EDUCATION’ be arranged such that the vowels take the odd positions?
- In how many ways Barcelona’s football team captain and vice-captain be elected from a team of 15 men?
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- How many words can be formed from the word INCREASE in which both E’s do not come together?
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