MCQ
IF A = [5, 6, 7] and B = [7, 8, 9] then $\text{A }\cup \text{ B}$ is equal to.
- A[5, 6, 7, 8, 9]
- B[5, 6, 7]
- C[7, 8, 9]
- DNone of these
Solution:
Given A = [5, 6, 7] and B = [7, 8, 9]
then $\text{A }\cup \text{ B}$ = [5, 6, 7, 8, 9]
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A five digit number divisible by 3 is to be formed using the numbers 0, 1, 2, 3, 4 and 5 without repetitions. The total number of ways this can be done is.
[Hint: 5 digit numbers can be formed using digits 0, 1, 2, 4, 5 or by using digits 1, 2, 3, 4, 5 since sum of digits in these cases is divisible by 3.]