n a box there are coins marked 0, 2, 3, 4, 5, 6, 8. Without repeating any digit, how many numbers can you form in the range 500 - 1000 (excluding 500 and 1000)?
Answers
Given : In a box there are coins marked 0, 2, 3, 4, 5, 6, 8
To Find : Without repeating any digit, how many numbers can you form in the range 500 - 1000 (excluding 500 and 1000)?
Solution:
501 to 999
0, 2, 3, 4, 5, 6, 8. total Digits are 7
Hundred's Digit can be selected in 3 ways
5 , 6 or 8
Then 2 digits ( tens & units ) has to be selected from remaining 6 digits and their order matters
Hence ⁶P₂ = 6 x 5 = 30
3 x 30 = 90
90 numbers can be formed in the range 500 - 1000 (excluding 500 and 1000 using 0, 2, 3, 4, 5, 6, 8 without repeating any digit
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