In how many ways, 48 small squares of 1 {\cm} \times1 {\cm} can be arranged so that the resulting area is 48 {\cm}^{2} ?

CTET Class I to V 1 Jan 2021 Paper

Question : 49 of 149

Marks: +1, -0

In how many ways, 48 small squares of

1 {\cm} ×1 {\cm}

can be arranged so that the resulting area is

48 {\cm}^{2}

Solution:

The squares can be arranged in rows (r) and columns (c).
Area of small square

=1 × 1=1 {\cm}^{2}

∴ The number of ways

=5

[∵(1,48)(2,24)(3,16)(4,12)(6,8)]

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