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- 3. Find the number of distinct permutations that can be formed your ID number.An environmental agency is analyzing water samples from 80 lakes for pollution. Five of the lakes have dangerously high levels of dioxin. Six lakes are randomly selected from the sample. How many ways could one polluted lake and five nonpolluted lakes be chosen? Please solve in regards to the formulas for permutations and combinations.Using Venn diagram, differentiate Permutation from Combination of "n" objects taken "r" at a time.
- If a piece of string has been chopped up into n small pieces and the length of the ith piece is Δxi. Use sigma notation to express the total length of the string.How many different arrangements are there of the 8 letters in the word RELEASED in which the letters LED appear together in that order? (Please give me detailed explanation, thx)Determine the number of permutations (arrangements) possible of 9 things taken 3 at a time
- Determine the correct check digit for the UPC. (apple ipad pro) 8-88462-52148How many words can be formed by permutation of the letters of the word DEPRESSION such that each obtained word does not contain 2 consecutive identical letters? (Hint: use the principle of inclusion and exclusion)How many permutations of letters MNPQRSTUV will contain substrings PQ and QTS in it?
- how many positive intergers less than 1150 are multiples of 8, 5, 3. using the principles of inclusion and exclusion.Using the digits from the set [0, 1, 2, 3, 4, 5, 6], find the amount of odd three-digitnumbers that can be created. (How many strings of five ASCII characters contain the character @ (“at” sign) at least once? [Note: There are 128 different ASCII characters.