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Permutation and Combinations — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSPermutation and Combinations1 Mark
MCQ
How many factors are 25× 36 × 5² are perfect squares:
  • A
    24
  • B
    12
  • C
    16
  • D
    22
✓

Answer

  1. 24

Solution:

Any factors of 25 × 36 × 52 which is a perfect square will be of the form 2a  × 3b × 5c

where a can be 0 or 2 or 4, So there are 3 ways.

b can be 0 or 2 or 4 or 6, So there are 4 ways.

a can be 0 or 2, So there are 2 ways.

So, the required number of factors = 3 × 4 × 2 = 24

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