We are forming strings from the 9 letter word "JAMBALAYA". 1. How many different 9-letter strings can we form from the word "JAMBALAYA"? 2. How many different. 9-letter strings that do not include the substrings "JAMBA" and/or "LAYA" can we form from the word "JAMBALAYA"? 3. How many different 8-letter strings can we form from the word "JAMBALAYA"?

How many 8-letter words can be made from the letters WASTEFUL ifrepetition of letters is allowed? repetition of letters is not allowed

en the letters A, B, C, D, E, F, the number of 3 letter groups that can be made. B. Given 6 people in a club, the number of 6 person committees that are possible C. Given 6 people in a club, the number of ways that a president, secretary and treasurer L0Zd mu2 աալի Given 6 disting ds, the number of INIC. How many arrangements can be made using all the letters in the word OSOYOOS. A. 5040 B. 210 C. 2520 D. 105 the number of arrangements for theard TATTOO given that that the word be poppin. 2) The expression 321 x 320 x 319 x 318 can be simplified as nPr. The value of n + r =

How many 3 letter words can be made using the letters D, S, M, A, K, E and B if every word must have 1 vowel between 2 consonants? (examples: SAM, BEK, etc.)

Suppose we want to choose   3 colors, without replacement, from the   4 colors red, blue, green, and purple.       How many ways can this be done, if the order of the choices does not matter?   How many ways can this be done, if the order of the choices does matter?

2. (a) A sack contains 50 marbles of 4 different colors. Explain why there are at least 13 marbles of the same color. (b) If exactly 8 of the marbles are red, explain why there are at least 14 of the same color.