Permutation & Combination Pop Quiz 1

If the order is matter, it is consider as _______?

Which one is greater, 7P2 or 7C2?

How many ways to select 12 people for the President, Secretary and Treasure title? This is consider as _________?

Nine cards, each of a different colour, are to be arranged in a line. The 9 cards include a pink card and a green card. How many different arrangements do not have the pink card next to the green card?

Three identical cans of cola, 2 identical cans of green tea and 2 identical cans of orange juice are arranged in a row. Calculate the number of arrangements if the first and last cans in the row are the same type of drink.

Seven friends together with their respective partners all meet up for a meal. To commemorate the occasion, they arrange for a photograph to be taken of all  of them standing in a line. How many different arrangements are there if the  friends all stand together and the  partners all stand together?

A group of 9 people consists of 2 boys, 3 girls and 4 adults. In how many ways can a team of 4 be chosen if both boys are in the team?

A group of 9 people consists of  2 boys,  3 girls and 4 adults. In how many ways can a team of 4 be chosen if at least 2 girls are in the team?