How many strings are there of length 26 which contain alll 26 letters of the alphabet and have all 5 vowels together and alll 21 consonants together? 2 x 51 x 211 x 51 x 221 51 x 211 51 x 221

Q: Q1. Find the Jordan normal form of [-2 1 2 A = -2 -2]

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Q: How many different passwords of 4 characters can be made using the numbers from 0 to 9 and the…

A: A password of four characters is to be made using the numbers from 0 to 9 i.e. 10 digits and the…

Q: How many 3 letter words can be made from 10 letters “FGHIJKLMNO” if repetition of letters (b) is…

A: letter words can be made from letters :"FGHIJKLMNO”

Q: How many 3-digit positive integers exist that when divided by 7 leave a remainder of 57

A: 3 digit positive integers start from 100 and ends with 999. Least positive 3 digit integer which…

Q: computer password 8 characters long is to be created with 6 lower case letters (26 letters for each…

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Q: A number is called “quadary” if each digit is either 0, 1, 2, or 3. How many different 5-digit…

A: Given that a number quadary if each digit is either 0,1,2 or 3. To find the number of  different…

Q: Determine the number of different words possible by rearranging the letters of ERRTDADX

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Q: How many trailing zeros are there in (1000+51X5)! In the decimal number system and 96 based number…

A: As the number of trailing zeros in a number factorial directly depends on the number of cumulative…

Q: Find the available number of passwords when using a 4 letter password with possible usage of…

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Q: How many different passwords exist that consist of 12 characte using uppercase and lowercase…

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Q: How many 10-bit strings are there if the string must start with 001 or 10?

A: By using the given information the solution is given as follows

Q: find all possible three-digit numbers that are of the form 75_ and are divisible by both 3 and 2

A: Since the number is divisible by 2 and 3, it must be divisible by 6.

Q: How many whole numbers are there with exactly 5 digits that can be written using only the digits 8…

A: no. of whole number possible with exactly 5 digits from digits 8 and 9 = ?

Q: The English alphabet contains 21 consonants and 5vowels. How many word of length 4 can you write all…

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Q: How many 7 letter words can be made from the letters WASTFUL if repetition of letters is allowed?

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Q: A computer password is required to be 5 characters long. How many passwords are possible if the…

A: Given dataa computer password is required to be 5 cgaracters longThe password requires 2 letters…

Q: In an apartment complex with 10 mailboxes, in how many ways can a mail carrier distribute 10 letters…

A: The formula for finding the  one addressed to each box such that at least one letter is put into the…

Q: How many 12-bit strings start with 101 or end with 10 or both?

A: Here the 12-vit string is the string of length 12. And to find the number of specific types of…

Q: The total number of positive integers that can be formed from the digits 1,2,3 and 4 if no digit is…

A: Number of possible arrangement can be calculated either by combination or permutation methods.…

Q: How many real four digit numbers (they can not start with zero) can be formed from digits 0, 1, 2,…

A: Given digits is 0,1,2,3,4,5,6Total no.of digits = 7

Q: There are 29 students in precalculus; in how many ways can students fill the Top five?

A: Permutation: A permutation is an arrangement of objects in a definite order.   Let n is the total…

Q: How many distinct permutations of the letters of the word TABULATION contain the string ION?

A: Number of permutation  keeping ION as one we get that 8!2!=8· 7· 6· 5· 4· 3=20160