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Q: How many 3 digits odd numbers can be formed from the digits 1 2 3 4 and 5 if repetition is not allowed?

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64 if repetition is allowed.24 if repetition is not allowed.

If repetition of digits isn't allowed, then no13-digit sequencescan be formed from only 5 digits.

There are 2000 such numbers.

It is 415968.

If repetition is allowed . . . . . 343 If repetition is not allowed . . . . . 210

There are 2000 such numbers.

Possible solutions - using your rules are:- 11,13,17,31,33,37,71,73 &77

9 odd numbers less than 100 can be formed. They are: 3,5,7,35,37,53,57,73 and 75.

20 of them, if repetition is not allowed.

125 There are five choices for each of the three digits (since repetition is allowed). So there are 5*5*5=125 combinations.

Just six numbers... 345, 354, 435, 453, 534 & 543

15 of them.

64 if repetition is allowed, 6 otherwise.64 if repetition is allowed, 6 otherwise.64 if repetition is allowed, 6 otherwise.64 if repetition is allowed, 6 otherwise.

I take it that you want to make three digits numbers with 8,7,3, and 6 without repetition. The first digit cane be selected from among 4 digits, the second from 3 digits, the third digit from 2, hence the number of three digit numbers that can be formed without repetition is 4 x 3 x 2 = 24

120 There are 6 digits in total. The numbers with 3 digits, with all digits distinct from each other, are the permutations of the 6 digits taken 3 at a time, and therefore there are 6*5*4 = 120 of them.

Six (6)

None. Nine digit number cannot be formed using only five digits 1,2,3,4,5 in the case none of the digits can repeat. -------- Egad! I misread the question, apologies to the questioner. And thanks to Miroslav.

There are 5*5*5 = 125 such numbers.

There are 5 numbers of 1 digit, 25 numbers of 2 digits, and 75 numbers of 3 digits. This makes 105 numbers in all.

if the repetition is allowed the there is 6*6*6 possible ways = 216

This is permutations with repetition. The answer is 4^4 = 256 total permutations. Since 2 of the digits used are odd (and 2 are even), then half of the possibilities will be odd: 128 odd numbers.

9*8*7 = 504 of them.

3*2*1 = 6 of them.

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