ZUX is a strange person who only uses the 13 letters that comprise the second half of the alphabet (N-Z). Using just the second half of the alphabet (uppercase letters only), how many strings of seven letters are there if letters can be repeated and at least one of the three following conditions is true: (i) the string starts with Z, (ii) the fourth letter is U, and (iii) the string ends with X

ZUX is a strange person who only uses the 13 letters that comprise the second half of the alphabet (N-Z). Using just the second half of the alphabet (uppercase letters only), how many strings of seven letters are there if letters can be repeated and at least one of the three following conditions is true: (i) the string starts with Z, (ii) the fourth letter is U, and (iii) the string ends with X

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

A burger chain wants to send codes for a free small drink to the members of its kids club. The coupon code will have one letter, followed by two digits, followed by two letters. The letters R , S , T , and U and the digit 3 will not be used. So, there are 22 letters and 9 digits that will be used. Assume that the letters and digits can be repeated. How many such coupon codes can be generated?
In how many ways can 7 male students be arranged in a row if Hanz and Fitch insist next to each other?
Suppose that a college of engineering has seven departments, which we denote by a, b, c, d, e,f, and g. Three of the seven representatives are to be selected to attend a statewide convention. How many ways are there to select the three officers? To solve this I have uploaded a picture of how the notes are shown. My question is how they get the 7!/3!4!? where does 3! and 4! come from? Thanks.
Bob owns 7 different books. He wants to arrange all of these books left-to-right on a single bookshelf. How many distinguishable ways can Bob do this?
select three (3) coins, but assume that there are 5 dimes, 4 nickels, and 2 quarters.In how many possible ways can the selection be made so that the value of the coins is at least 25 cents?
Evaluate (30! ÷ 29!). Hint: Don't compute 30! and 29! individually.
How many distinct 5-letter words can be formed using the letters from the word "MATHS" if repetition of letters is not allowed?
Determine the "n" and "p" in the following problems and write them in Combination notation. a)Abag contains 4 white balls, 6 yellow balls, and 5 red balls. In how many ways can 6 balls be chosen if there must be 2 balls of each color? b) If 4 marbles are picked randomly from a basket containing 5 blue marbles and 8 yellow marbles, in how many ways can it happen that at least 3 of the marbles picked are blue? c)There are 7 men and 9 women members of a club. How many committees of 4 can be formed having at most 3 men?
How many ways are there to rearrange the letters in the word "TAKUT" so that the two Ts are not next to each other.
A burger chain wants to send codes for a free small drink to the members of its kids club. The coupon code will have one letter, followed by two digits, followed by two letters. The letters R , S , T , and U and the digit 3 will not be used. So, there are 22 letters and 9 digits that will be used. Assume that the letters and digits can be repeated. How many such coupon codes can be generated?