(1) 120
124
Using any four digits at a time out of 3, 4, 5, 6, 7 only once, how many different
numbers can be made?
(1) 120
(2) 124
(3) 130
(4) 140
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Answer:
Given numbers are 3, 4, 5, 6, 7
(i) Excluding 3,
» Remaining four digits can form 4! numbers.
Similarly for (ii), (iii), (iv) and (v)
» 4! numbers can be formed in each case.
Therefore, total numbers can be formed
= 4 × 4! = 5 × 24 = 120
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