The number of integers greater than 5000 that can be formed using 3, 4, 5, 6, 0 without repetition is:
Answers
Answer:
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Step-by-step explanation:
Adding these up, there are 78 even numbers greater than 5000 that can be made with these digits. Originally Answered: How many numbers greater than 5000 can be formed using the digits 3, 4, 5, 6, and 7 without repetition of digits?
Step-by-step explanation:
first let's find out for 4 digit numbers greater than 5000.
5034
5036
5043
5046
5064
5063
5 followed by 0 gives six different numbers thus
there are 4 other numbers beside 5, left for combination
which gives us
6 different number× 4 combination
= 24 numbers
and moving to the next number greater than 5 we have 6 which also gives us 24 different numbers
well we can form 48 five digit numbers numbers
now let's find out 5 digit numbers greater than 5000.
and now for the other numbers excluding 0 in the beginning we can form
30456
30465
30546
30564
30645
30654
six different numbers
Thus, we have 4 other numbers for combination
which gives us = 6×4= 24
and same with 4 in the beginning
we have 24 numbers
with 5 we have 24 numbers and with 6 we have 24 numbers
so in total we have
48+24+24+24+24 = 144