How many natural numbers not exceeding 4321 can be formed with the digits 1,2,3 and 4,if the digits can repeat?
The answer is 229.I just need the steps.
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hey friend..
there are certain numbers which can be form by repetition of 1,2,3&4 like-
1. 1234
2.1243
3.1342
4.4321
5.2314
As we know that there are 4 numbers so
BY MULTIPLE OF 4×4×4×4=256.
NEXT STEP IS THAT DO SQUARE OF REMAINING NUMBERS LIKE OF 3×3×2×2×1×1-1
WE DO THE MINUS BECOZ WE HAVE TO FIND PERFECT VALUE...
SO 256-3×3×2×2×1×1-1=> 219.....
HOPE IT WILL HELP U
there are certain numbers which can be form by repetition of 1,2,3&4 like-
1. 1234
2.1243
3.1342
4.4321
5.2314
As we know that there are 4 numbers so
BY MULTIPLE OF 4×4×4×4=256.
NEXT STEP IS THAT DO SQUARE OF REMAINING NUMBERS LIKE OF 3×3×2×2×1×1-1
WE DO THE MINUS BECOZ WE HAVE TO FIND PERFECT VALUE...
SO 256-3×3×2×2×1×1-1=> 219.....
HOPE IT WILL HELP U
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