How many 5-digit numbers can be constructed, using the digits 0 to 9 if each number starts with 12 and no digit appears more than once.
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336
Step-by-step explanation:
_ _ _ _ _
the thousands and ten thousand digit is fixed with 1 and 2
hence the possible numbers are only 1
1 1 _ _ _
from 0 to 9 we have 10 numbers and 2 are already used hence we have 10-2=8 Numbers now.
as the numbers should not be repeated , the probability of the rest of the digits are
1 1 8 7 6
hence 1×1×8×7×6 = 336
hence there are 336 possible ways to construct a five digit number with the given rules.
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