How many five-digit numbers can be formed using the digits 1, 2, 3, 5, 6, 7 if repetition
of digits is not allowed ? How many of these are (i) greater than 30,000 ? (ii) greater the
35,000 ? (iii) between 30,000 and 35,000?
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we allow Repeatation, most significant digit has 3 possibilities (3, 4 and 5) and remaining positions. have 5 possibilities each.So, total number of possibilities are 3×5×5×5×5=3×625=1875
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