P and C

How many ways are there for eight men and five women to stand in a line so that no two women stand next to each other?

Permutation or Combination?

• Permutation

• Combination

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?

Permutation or Combination?

• Permutation

• Combination

From the letters of the word DISTRIBUTION, find the number 4-letter code-words that can be formed if the code word contains exactly three "I"s.

• 192

• 32

• 216

• 36

From the letters of the word DISTRIBUTION, find the number code-words that can be formed using all the letters such that all the three "I"s are separated.

• 43545600

• 261273600

• 21772800

Four men, two women and a child sit at a round table. Find the number of ways of arranging the seven people if the two women must sit together.

• 240

• 1440

• 120

Four men, two women and a child sit at a round table. Find the number of ways of arranging the seven people if the child must sit between two men and the two women must be separated.

• 24

• 12

• 48

• 144

Nine people are invited to a party. Among these people, there is a pair of twins. These nine people are separated into 3 groups of 3 people to play a game. Find the number of ways to form the groupings if the pair of twins cannot be in the same group.

• 35

• 1540

• 210