How many positive integers less than 1,000,000 have exactly one digit that is 7 and the...

How many positive integers less than 1,000,000 have exactly one digit

that is 7 and the product of this digit (7) with the sum of other digits is

between 50 and 65?

Expert Solution

Colby Messinger answered 2 years ago

How many eight-digit positive integers have the sum of digits being even?

how many integers from 0 through 999,999 contain the digit 4 exactly twice? how many integers...

how many integers from 0 through 999,999 contain the digit 4 exactly twice? how many integers from 1 through 1000000 contain the digits 6 at least once

How many different positive integers less than 1000 have distinct digits and are even? My attempt:...

How many different positive integers less than 1000 have distinct digits and are even? My attempt: since 1 digit numbers have the repeating 0 digit i started with 2 digit numbers. xxx= First digit: can only be 0 Second digit: can be any of 9 digits Third digit: can't be 0 or the digit used in the tens column so one of 4 numbers. 1*9*4= 36 ways so 1 * 9 * 4= 36 ways Now for the 3 digit...

1) How many positive integers are greater than 140, less than 30800 and relatively prime to...

1) How many positive integers are greater than 140, less than 30800 and relatively prime to 280.

Please find how many numbers more than 1,000 and less than 1,000,000 are not multiple of...

Please find how many numbers more than 1,000 and less than 1,000,000 are not multiple of 2, 3, or 5.

Consider all positive integers less than 100. Find the number of integers divisible by 3 or...

Consider all positive integers less than 100. Find the number of integers divisible by 3 or 5? Consider strings formed from the 26 English letters. How many strings are there of length 5? How many ways are there to arrange the letters `a',`b', `c', `d', and `e' such that `a' is not immediately followed by`e' (no repeats since it is an arrangement)?

How many 10 digit decimal numbers contain: a-) exactly three 7’s ? b-) at most two...

How many 10 digit decimal numbers contain: a-) exactly three 7’s ? b-) at most two 7’s ? c-) at least two 7’s ? please explain when solving problems. thanks

Question#1 How many positive integers between 100 and 888 inclusive, a) are divisible by 7? b)...

Question#1 How many positive integers between 100 and 888 inclusive, a) are divisible by 7? b) are odd? c) have distinct digits? d) are not divisible by 6? e) are divisible by either 4 or 7? f) are not divisible by either 4 or 7? g) are divisible by 4 but not by 7? h) are divisible by 4 and 7? Question#1 How many positive integers between 100 and 888 inclusive, a) are divisible by 7? b) are odd? c)...

How many 7-digit telephone numbers are possible if the first digit cannot be eight and (a)...

How many 7-digit telephone numbers are possible if the first digit cannot be eight and (a) only even digits may be used? (b) the number must be a multiple of 10 (that is, it must end in 0)? (c) the number must be a multiple of 1,000? (d) the first 2 digits are 92? (e) no repetitions are allowed?

1. How many 6 digit strings have a sum of 35? in a digit string the...

1. How many 6 digit strings have a sum of 35? in a digit string the first digit can be zero 2. In how many ways can one arrange the set {A,B,C,D,E} if E can not be on either end of the string A must be in an even position B must be in an odd position (Solve by direct method and P.I.E.)

Question