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12 Sep 2010, 08:47
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1) How many positive integers of four different digits, each greater than 3000, can be formed with the digits 1, 2, 3, 4, 5 and 6?
2) How many positive integers of three different digits, each less than 400 can be formed from the digits 1, 2, 3, 4, 5 and 6?
2) How many positive integers of three different digits, each less than 400 can be formed from the digits 1, 2, 3, 4, 5 and 6?
12 Sep 2010, 10:59
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jinx83
Please read and follow: how-to-improve-the-forum-search-function-for-others-99451.html
Post one question per topic and provide answer choices.
One can do the way saxenashobhit proposed or:
1. How many positive integers of four different digits, each greater than 3000, can be formed with the digits 1, 2, 3, 4, 5 and 6?
# of 4-digit numbers possible to form with 6 digits 1, 2, 3, 4, 5, and 6 is \(P^4_6=360\). As number must be more than 3,000 then it should start with 3, 4, 5, or 6 (with 4 out of 6 possible) --> so every 4 out of 6 number from 360 will fit --> \(\frac{4}{6}*360=240\).
2. How many positive integers of three different digits, each less than 400 can be formed from the digits 1, 2, 3, 4, 5 and 6?
# of 3-digit numbers possible to form with 6 digits 1, 2, 3, 4, 5, and 6 is \(P^3_6=120\). As number must be less than 400 then it should start with 1, 2, or 3 (with 3 out of 6 possible) --> so every 3 out of 6 number from 240 will fit --> \(\frac{3}{6}*120=60\).
saxenashobhit
One typo: you should have 4 instead of 3.
Hope it's clear.
General Discussion
12 Sep 2010, 09:09
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A)
Number of digits that can take different place
3 5 4 3
_ _ _ _
3*5*4*3 = 180 numbers
B
3 5 4
_ _ _
Number below 400 = 3*5*4 = 60
Number of digits that can take different place
3 5 4 3
_ _ _ _
3*5*4*3 = 180 numbers
B
3 5 4
_ _ _
Number below 400 = 3*5*4 = 60
