on Monday adian reads 1/3 of a book, on Tuesday he read 1/4 of the remaining pages. to complete the book he needs to read an additional 60 pages. how many pages are in the book
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Answer:
We can find the possible numbers to generate using the combinations :
Total=(7/3)∗(4/2)∗(2/1)∗(1/1)
Explanation:
we have 7 possible positions to distribute our 3 two's, hence (7/3)
we have 4 possible positions to distribute our 2 four's, hence (4/2)
we have 2 possible positions to distribute our single zero, hence (2/1)
we have 1 possible position to distribute our single one, hence (1/1)
But since the numbers that start with digit 0 are not greater than 1000000, we will have to subtract them:
NumberStartWithZero=(6/3)∗(3/2)∗(1/1)
Total−NumberStartWithZero=360 (after few calculations)
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