Permutation and Combination

Practice Permutation and Combination – In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

Practice Permutation and Combination – In how many ways can the letters of the word EDUCATION be rearranged so that the relative position of the vowels and consonants remain the same as in the word EDUCATION?

Practice Permutation and Combination – Suppose 7 students are staying in a hall in a hostel and they are allotted 7 beds. Among them, Parvin does not want a bed next to Anju because Anju snores. Then, in how many ways can you allot the beds?

Practice Permutation and Combination – When four fair dice are rolled simultaneously, in how many outcomes will at least one of the dice show 3?

Practice Permutation and Combination – Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

Practice Permutation and Combination – There are 7 non-collinear points. How many triangles can be drawn by joining these points?

Practice Permutation and Combination – In a plane 8 points are colliner  out of 12 points, then the number of triangles we get with those 12 points is 

Practice Permutation and Combination – The number of ways that 7 teachers and 6 students can sit around a table so that no two students are together is