Mr. Deets is making an array to display 9 pictures. For each pair of different factors, there are two arrays he can make. How ma

Question

2 months ago

8

ny different arrays can Mr. Deets make ? Is the number of arrays odd or even Explain.

2 answers:

lawyer [12.5K] · Answer 1 · 2026-03-08T03:23:25+03:00

3 distinct arrangements - 1 x 9 (or 9 x 1) and 3 x 3

Thus, the total number of arrangements = 2 x 2 = 4 = an even count

Initially, we identify pairs of different factors of 9.

The pairs of factors for 9 are:

(1, 9) and (3, 3)

For each of these pairs, Mr. Deets can create 2 arrangements.

This means the total arrangements Mr. Deets can construct = 2 x 2 = 4, confirming that the overall number is even.

Svet_ta [12.7K] · Answer 2 · 2026-03-08T03:26:39+03:00

Answer:

4 arrangements,

The total number of arrangements is even.

Step-by-step explanation:

∵ The possible pairs of numbers that multiply to yield 9 are,

(3, 3) and (9, 1),

Thus, the possible arrangements would be,

3 × 3, 9 × 1

Note: 9 × 1 can also be expressed as 1 × 9,

According to the provided question,

For every unique factor pair, there are two possible arrangements,

3 × 3 and 9 × 1 represent two unique arrangements without shared factors,

Consequently, the total arrangements = 2 × 2 = 4

This is an even number.