a four-digit number has to be formed (without repetition of digits) by using the digits 1, 5, 3, 9, and 7 only. how many such numbers can be formed
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Answered by
7
given digits {1,5,3,9,7}.
no. of digits=5
_____ _____ ______ ______
thousand hundred tens. unit
we can arrange thousands place in 5 ways
and hundred place in 4 ways
tens place in 3 ways
unit place in 2ways
therefore by fundamental principal of mathematical counting
total arrangements = 5×4×3×2
=120 ans
no. of digits=5
_____ _____ ______ ______
thousand hundred tens. unit
we can arrange thousands place in 5 ways
and hundred place in 4 ways
tens place in 3 ways
unit place in 2ways
therefore by fundamental principal of mathematical counting
total arrangements = 5×4×3×2
=120 ans
Answered by
0
Answer:
120
Step-by-step explanation:
5 possibilities are their
4 digit no. is to be generated with non repetition
therefore
__ __ __ __
5 X 4 X 3 X 2
i.e. 5! ways are possible
so, 120 nos. are possible to be formed under given condition
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