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Q)These are called falling numbers in which digits of number gradually decreases. The largest falling number is 9876543210 where as ''0" is the smallest. How many such 5 digit numbers could be possible????
Read Solution (Total 14)
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- The possible 5 digit numbers are 98765,87654,76543,65432,54321,43210,97531,86420.
Therefore Ans:8 - 8 years agoHelpfull: Yes(15) No(10)
- for 1st digit it may be 9,8,7,6,5,4 so 6 ways is possible,for 2nd digit 8,7,6,5,4,3 6 ways is possible in this way the number of ways possible is=6*6*6*6*6
- 8 years agoHelpfull: Yes(8) No(9)
- the answer is 21
because, there are 5 spaces, now if we fixed the fast place with 9 then numbers will be
98765
97654
96543
95432
94321
93210
that means 6,
with 8 at the 1st place we can create 5 numbers and
with 7 at the 1st place we can create 4 numbers and
with 6 at the 1st place we can create 3 numbers and
with 5 at the 1st place we can create 2 numbers and
with 4 at the 1st place we can create 51 number
so the total numbers will be 21 - 8 years agoHelpfull: Yes(6) No(2)
- 9!*8!*7!*6! becoz last number is 0 so we hyave this term of possiblility
- 8 years agoHelpfull: Yes(3) No(3)
- There are 6 possibe ways. The first place can be 9,8,7,6,5,4 but the second plac can be only one way if the first digit is set. For example If first digit is 9 then the second will have to be 8 and the third will have to be 7 and the fourth will have to be 6 and the fifth will have to be 5. Similarly we can do with 8 or 7 or 6 or 5 or 4 in first place .
- 8 years agoHelpfull: Yes(2) No(4)
- Ans is 6!*5!*4!*3!
- 8 years agoHelpfull: Yes(2) No(6)
- 30240
beacuse 10*9*8*7*6=30240 - 8 years agoHelpfull: Yes(2) No(5)
- The possible 5 digit numbers are 98765,87654,76543,65432,54321,43210,97531,86420.
Therefore Ans:8 - 8 years agoHelpfull: Yes(0) No(4)
- Keeping 9 at first place we get 6 types...hence for 8 at first place we get 5 types..
hence we will get 4,3,2,1 types...
so total no of ways will be...6+5+4+3+2+1=21 possible ways......... :)
- 8 years agoHelpfull: Yes(0) No(3)
- Its 21 or 8 please reply!!
- 8 years agoHelpfull: Yes(0) No(0)
- ans : 8 gradually decrease and arrange the numbers then we have 98765,97531,87654,86420,76543,65432,54321,43210 only.
- 8 years agoHelpfull: Yes(0) No(0)
- M1*D1*T1*W2=M2*D2*T2*W1, here M=no.of men, D=no. of days, T=time, W=no. of work
x*x*x*W2=y*y*y*x
W2=y*y*y*x/(x*x*x)
W2=y*y*y/(x*x) - 7 years agoHelpfull: Yes(0) No(0)
- 8 to pura galat hai
- 7 years agoHelpfull: Yes(0) No(0)
- o find the number of 5-digit falling numbers (where digits decrease gradually), we can analyze the pattern and constraints provided.
A falling number is one in which each digit is strictly smaller than the digit immediately to its left. Given that the largest falling number is
9876543210
9876543210, the smallest 5-digit falling number would be
54321
54321.
Let's break down the possibilities step by step:
The first digit of a 5-digit falling number can range from 1 to 5 (since it's a 5-digit number and we want decreasing digits).
For each first digit chosen in step 1, the second digit can range from 0 to the first digit minus 1 (to ensure a falling pattern).
Similarly, the third digit can range from 0 to the second digit minus 1, and so on until the fifth digit.
Following this pattern, we can count the number of possibilities:
For the first digit (range: 1 to 5), there are 5 possibilities.
For the second digit, if the first digit is 5, there are 5 possibilities (0 to 4). If the first digit is 4, there are 4 possibilities (0 to 3), and so on.
Similarly, for the third, fourth, and fifth digits, the number of possibilities decreases by 1 for each digit.
Summing up the possibilities for each position, we have:
Total possibilities
=
5
+
5
+
4
+
3
+
2
=
19
Total possibilities=5+5+4+3+2=19
So, there are 19 possible 5-digit falling numbers. - 8 Months agoHelpfull: Yes(0) No(0)
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