Octal numbers are made using the eight digits 0,1,2,3,4,5,6,7. How many octal numbers are 4 digits long and where the first digit must be from 1 to 7? How many 4-digit long octal numbers begin with 2 or 3? Digits can repeat. How many octal numbers are 4 digits long with no repeating digits, where the first digit must be from 1? How many octal numbers are 4 digits long and end in 6, and where the first digit must be from 3 to 5?

Q: How many different numbers can be formed by various arrangements of the six digits 1, 1, 1, 1, 2, 3

A: Please refer to the solution in next step.

Q: The local​ seven-digit telephone numbers in city A have 157 as the first three digits. How many…

A: The objective of the question is to find out the total number of different seven-digit telephone…

Q: (a) (b) f(x) = ||XV||2 supveR"\{0} |v||2 on Rmxn f(x, y) = x¹Y-¹x on R" x S. '++

A: note : As per the instructions we will only solve the part (a), (b) of the question.   As per the…

Q: How many 4-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetition of digits…

A: In this question, concept of combination is applied. Combination A combination is a mathematical…

Q: How many 7 digit phone number are possible? Assume the first digit can be zero and all digits can be…

A: make 7 digit phone number.The first number can be zero and all digits can repeated. The digits are :…

Q: How many different three digit numbers can be formed using the digits 9,6,7,8,5 and 4 with…

A: Given digits, 9, 6,7,8,5 and 4 Total numbers of given digits = 6

Q: How many different two-digit numbers can you form using the digits 3, 8, 7, 4, 1, and 5 without…

A:

Q: how many different 4 letter ratio station call letters can be made if repeats are allowed and the…

A: Given: The number of choices n=26 The number chosen at a time r=4

Q: How many different license plates can be made by using two letters followed by three digits selected…

A: The licensing plate should contain 5 places in which first 2 positions filled with letters and next…

Q: How many license plates can be made using two letters followed by four digits (0-9), allowing…

A: From this given information, license plates can be made using two letters followed by four digits…

Q: Visa cards have 16 digits. The first digit is always 4 as in 4xxxxx – with the 2nd to 6th digits…

A: There are 10 digits including zero. The first number should be 4. It is given that the 2nd to 6th…

Q: Visa cards have 16 digits. The first digit is always 4 as in 4xxxxx – with the 2nd to 6th digits…

A:

Q: License plates in a certain state start with 3 letters (but they don’t use I or W) and then 3…

A:

Q: From the digits 4,3,6,1,5 and 7. How many 4 digit numbers can be made w/o repetition that are more…

A: The number of permutations of n objects taken r at a time is determined by the following formula:…

Q: How many 5 digit numbers can be formed without repeating any digit, from the following digits 3, 4,…

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Q: How many 4 letter words can be created using the letters in the word COMPLICATED?

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: From the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9, if five-digit numbers are to be formed and…

A: As per our guidelines we are supposed to answer only 3 sub-parts of any one question We have given…

Q: How many 9 digit numbers are there that use each of the digits 1,2,3,4,5,6,7,8,9 exactly once?

A: To form a 9 digit number We know that each 9 digit places are must be one of the 9…

Q: d 3?

A: for a 4 digit even number

Q: How many different numbers of five digits can be made using the digits 2,2,3,3,3?

A: The objective is to find how many different numbers of five digits can be made using the digits…

Q: How many different three digit numbers can be formed using the digits 8,1,5, and 7 with repetition ?…

A: To determine: The different three digit numbers can be formed using the digits 8, 1, 5, and 7 with…

Q: how many 4 digit numbers can be formed from 3 2 7 6 0 4 9 if the number is greater then 4000 and…

A: Given digits is3,2,7,6,0,4,9Total no.of digits = 7

Q: how many 3-digit number we can form using 10 digits (0,1,2,3.......,8) if no repetition is allowed

A: The first digit have 9 choices (digits 1 -9) as zero cannot be the first digit.There will be 9…