Find the number of six digit numbers in which exactly two digits are even.
if your answer is N
then report the nearest integer to N/10000
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
The number of values, where the first digit is odd (5 choices for each of the 6 digits, as there are 5 even and 5 odd digits, we can choose the position of the 2 even digits out of 5 (except the first digit)) :
( 2 5 ) × 5 6 = 1 5 6 2 5 0
The number of values, where the first digit is even (4 choices for the first digit (as there are 4 even digits different from 0), 5 choices for the rest of the 5 digits each; the position of the other even digit can be chosen 5 ways):
4 × 5 × 5 5 = 6 2 5 0 0
The total number of suitable values:
1 5 6 2 5 0 + 6 2 5 0 0 = 2 1 8 7 5 0
Hence, our answer should be:
1 0 0 0 0 2 1 8 7 5 0 = 2 1 . 8 7 5 = 2 2 (0 d. p.)