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Ask community Community Discussion Question: find the number of numbers less than 10000 and divisible by 25 (repetition not allowed)
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akl (90)

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find the number of numbers less than 10000 and divisible by 25 (repetition not allowed)
    
Deepak Aggarwal (3759)

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399 numbers. Apply permutation and combinations or just see even if u don't know dat

b/w 1-100 there r 4 numbers divisible by 25, same in 100-200 and so on. So, till 10,000 it becomes 4 X 100 = 400. But numbers r to be less than 10,000. so 10,000 is excluded and we r left wid 399 numbers.

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AIR 538 Asish (2607)

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if its divisible by 25, the last two digits must be 25 OR 50 or 75 or 00 (excluded because repetition is not allowed)

 

 Now for 2 digit nos. there exist only 3

For 3 digit numbers, there exist 2*7 + 8 = 22 numbers

For 4- digit numbers:

Case I last two digits are either 25 or 75.

then total nos are 7*7*2 = 98

Case II last two digits are 50

then total nos are 8*7 = 56

 

So, total nos = 98+56+22+3 = 179

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eragon24 (1654)

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.


"Give me some sunshine,

Give me some rain,

Give me another chance,

I wanna grow up once again"

n.a.

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Aakash Anuj (678)

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Deepak u r wrong as repetition is not allowed. hence u cannot take nos like 800, 995 etc..
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eragon24 (1654)

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bhai Aakash Anuj maine kuch post hi nahi kiya toh main galat kaise ho gaya....


"Give me some sunshine,

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I wanna grow up once again"

n.a.

eragon24.
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Deepak Aggarwal (3759)

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sry rachit i didn't read that repetition is not allowed. the answer is 179 then as in the second answer post.

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