Permutations and Combinations

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

• 564

• 645

• 735

• 756

In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?

• 360

• 480

• 720

• 5040

In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

• 810

• 1440

• 2880

• 50400

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

• 25200

• 21400

• 1050

• 210

In how many ways can the letters of the word 'LEADER' be arranged?

• 144

• 72

• 360

• 720

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

• 209

• 205

• 194

• 159

A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

• 64

• 32

• 48

• 96

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

• 11760

• 86400

• 5040

• 266

How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?

• 40

• 400

• 5040

• 2520

Rob and Mary are planning trips to nine countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip.

• Permutation

• Combination