How many base 10 numbers have five digits? How many five digit
numbers have no two...
How many base 10 numbers have five digits? How many five digit
numbers have no two consecutive digits equal? How many have at
least one pair of consecutive digits equal?
1.
A) How many three-digit numbers are there for which the sum of
the digits is at least 25?
B) How many three-digit numbers can be formed if only odd
numbers are allowed to be re-used
Please combinatorics principles where applicable.
1a) How many five digit number can be written with the digits
1,2,3,4 if there is an even number of twos?
1b) How many five digit number can be written with the digits
1,2,3,4 if two can be used either 4 times, or none?
a) How many 3-digit numbers are there?
b) How many 3-digit numbers can you make with all three digits
different?
c) How many of the numbers is part b) are odd?
Question: How many even four-digit numbers can be formed
from the digits 0,1,2,5,6 and 9. If each digit can be used exactly
once.
Note: Using the rule of multiplication, solve the question
elaborating and explaining each step in detail for my better
understanding.
a. How many 3-digit numbers can you make using the digits from
the set of (3, 4, 5, 6, 8, 2, 7) without repetitions?
b. How many numbers can be made with the digits from the set of
(0, 3, 5, 7, 8, 4, 9), which are greater than 0 and less than a
thousand (repetitions are allowed)?
5. Using only the digits of 1, 4, 5, 8, (a) How many three digit
numbers can be formed? (b) How many odd numbers greater than 10 can
be formed? (c) How many even number less than 300 can be
formed?
Repetition is allowed!