Activity 3: Show combination notation in solving each of the following problems
1) How many combinations of three letters can be made from the tetters B, E, A, U, T, and Y?
2 There are 8 persons inside a room. If each person is paired with another person to dance cha- cha, how many pairs of dancers are there in all?
3) From the letters of the word LINEAR, in how many ways can one consonant and two vowels be chosen?
4) I have 5 coins in my purse; 1 five-centavo coin, 1 ten-centavo coin, 1 one-peso coin, 1 five-peso coin and 1 ten-peso coin. If I pull out 3 coins, how many diiferent amounts of the three pulled coins are possible?
5. A box contain 6 distinct red balls and 4 distinct blue balls. In how many ways can 3 balls be drawn randomly from the box if: a. the color is not considered? b. 2 balls is red and one is blue? c. all three balls are red?