4. (a) How many ternary strings are there of length 10? (b) How many ternary strings of length 10 have three Os, four 1s, and three 2s? (c) How many ternary strings of length 10 have two Os, three 1s, and five 2s? (d) How many ternary strings of length 10 have no Os, four 1s, and six 2s? (e) How many ternary strings of length 10 have no Os? (f) How many ternary strings of length 10 have exactly three Os?

Q: Three men and three women are to be seated in a row of chairs numbered 1 through 6. (a) How many…

A: When n people are arranged in a line it can be arranged by n!

Q: How many seven-digit numbers can be formed with the first two digits odd and the last five digits…

A: The total number of digits from 0 to 9 is 10.

Q: (4) What formula did you use for question three, and why? (5) You know that Person A, Person B,…

A: (4) To state and explain: The formula used for question three. (5) It is known that Person A, Person…

Q: (a) How many 2 letter codes can be formed using A, B, C, and D if each letter can be used any number…

A:

Q: The digits 0, 1, 2, 3, 4, 5, 6 and 7 are used to make 4 digit codes. (a) How many unique codes are…

A: As per Bartleby guideline, if more than three subparts are asked only first three to be answered…

Q: Suppose we want to choose 6 letters, without replacement, from 15 distinct letters. (If necessary,…

A: given data, we want to choose 6 leteers, without replacement ,from 15 distinct letterswe have to…

Q: (a) How many ways can a student choose eight out of ten questions to answer on an exam? (b) How many…

A: (a) total number of question=10 to find number of ways can a student choose eight out of ten  we…

Q: How many ways are there to distribute 20 cents to n children and one parent if the parent receives…

A: Given:-          (a) The children receive any amounts: i. When parents receive a nickel = 5 cents…

Q: A baseball manager has 12 players on his team but only nine players can play on the field at one…

A: Given that the baseball manager has 12 players on his team but only nine players can play on the…

Q: Bob owns 13 different books. He wants to pick out and arrange 5 of these books left-to-right on a…

A:

Q: How many 7-digit telephone numbers are possible if the first digit cannot be four and (a) only odd…

A: Total digits :  0,1,2,3,4,5,6,7,8,9  7-digit telephone numbers= ?  First digit can not be 4

Q: A box contains 11 red marbles, 7 green marbles, and 6 black marbles. A sample of 10 marbles is to be…

A: Hello! As you have posted 4 sub parts, we are answering the first 3 sub-parts.  In case you require…

Q: Suppose we want to choose 2 letters, without replacement, from the 5 letters A, B, C, D, and E. (If…

A: given data,  we want  to choose 2 letters, ,without replacement  letters A,B,C,D  and Ewe have to…

Q: (a) 6 + 7 + 8 + 9 + ··· + 600 -- (b) 6+ 7+ 8+9+ ··· + k

A:

Q: 3. Prove or disprove [yes, these should look familiar from §2.3]: (a) The sum of three consecutive…

A:

Q: Many banks require customers who use the automated teller machine (ATM) to enter a four-digit…

A: ATM machine needs four digit password before transaction.  digits : {0,1,2,3,4,5,6,7,8,9} digits can…

Q: How many strings of 12 ternary digits (0, 1, or 2) are there that contain exactly hree Os, five 1s,…

A: Strings of 12 ternary digits, 3 possibilities for each digit in the string, gives a total of 3^12 =…

Q: (6) Find the sum of the integers for 7 to 508 Tmelusive,

A: first term (a0) = 7last term( an) = 508,     d = 1 ( natural no.)first we have to find total no of…