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SETS — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSSETS1 Mark
MCQ
A is set haveing 6 distinct elements. The number of distinct functions from A to A which are not objections is:
  • ✓
    $6!-6$
  • B
    $6^6-6$
  • C
    $6^6-6$ !
  • D
    $6!$
✓

Answer

Correct option: A.
$6!-6$
  1. $6!-6$
Solution:
Since set A has 6 distinct elements.
Total number of function from A to A = 6!
Number of objective function from A to A is 6
Therefore the number of function ehich are not objective = 6! − 6.

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