Given below are two statements:
Statement I: The number of different numbers each of 6 digits that can be formed by using all the digits 1, 2, 1, 0, 2, 2 is 50.
Statement II: These are 4536 possibilities of writing the four-digit numbers which have all distinct digits.
In the light of the above statements, choose the correct answer from the options given below
Step 1: Total permutations (including those starting with 0)
Step 2: Permutations starting with 0
If is fixed in the first position, we arrange the remaining five digits (1, 1, 2, 2, 2):
Step 3: Valid 6-digit numbers
Verdict: Statement I is True.
For a 4-digit number (Positions: Th, H, T, O) using digits :
Thousands place: Can be any digit except (9 options).
Hundreds place: Can be any digit except the one used (9 options remaining, as is now allowed).
Tens place: 8 options remaining.
Ones place: 7 options remaining.
Calculation:
Verdict: Statement II is True.
Correct Option: Both Statement I and Statement II are true.
