The number of natural numbers less than 7,000 which can be formed by using the digits 0, 1, 3, 7,9 (repitition of digits allowed) is equal to
Select the correct option:
A
374
B
375
C
250
D
372
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Number of numbers with '1' digit = $4=4$
Number of numbers with '2' digits $=4 \times 5=20$
Number of numbers with ' 3 ' digits = $4 \times 5 \times 5$
$$
=100
$$
Number of numbers with ' 4 ' digits $=2 \times 5 \times 5 \times 5$
$$
=250
$$
Total number of numbers $=4+20+100+250$
$$
=374
$$
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