How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7, 9 which are divisible by 5 and none of the digits is repeated?

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For all the numbers the last digit must be 5. So, the 1st, and the 2nd places are occupied by 2, 3, 6, 7, and 9 without any repetition. So, this can be done by taking 2 digits at a time from the above 6 digits. The number of ways this can be done is 6P2 = !6/!(6-2) = !6/!4 = (6x5x4x3x2x1)/(4x3x2x1) =...
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For all the numbers the last digit must be 5. So, the 1st, and the 2nd places are occupied by 2, 3, 6, 7, and 9 without any repetition. So, this can be done by taking 2 digits at a time from the above 6 digits. The number of ways this can be done is 6P2 = !6/!(6-2) = !6/!4 = (6x5x4x3x2x1)/(4x3x2x1) = 6x5 = 30. (Answer) read less
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Related Questions

What is the value of 6P3?
Q:- 6P3 =6!/(6-3)! =6*5*4*3!/3! =6*5*4 =120
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Hamdaan
Using all the letters of the word "FRIDAY", how many different words can be formed?
Total letters in word FRIDAY are 6, so 6! ways letters can be arranged so total words formed are 6*5*4*3*2*1=720
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Nilam
What is the value of 7P6?
7!/(7-6)! =7!/1! =7*6*5*4*3*2*1
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Arunsundar

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