How many four–digit numbers can be formed with at least one of the digits is repeated? * 4 464 4 564 4 654 4960

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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4. How many four–digit numbers can be formed with at least one of the digits is repeated? *

4 464

4 564

4 654

4960

 

5. In an examination, a candidate is required to pass five different subjects. How many ways can the candidate fail in his/her subject? *

30

31

32

33

6. Nine chairs are numbered 1 to 9. Three women and four men wish to occupy one chair each. First the women chose the chairs from amongst the chairs marked 1 to 5; and then the men selected the chairs from amongst the remaining. How many possible arrangements can they have? *

5C3 x 4C2

5C2 x 4P3

5C3 x 6C4

5C2 x 4P2

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