Mathematics: How many different four-digit numbers can be made using the digits 1, 2, 3, 4, 5, 6 if no digit can be used more than once? a. Subscript 4 Baseline C Subscript 2 Baseline = 6 b. Subscript 6 Baseline C Subscript 4 Baseline = 15 c. Subscript 6 Baseline P Subscript 4 Baseline = 360 d. Subscript 6 Baseline P Subscript 4 Baseline = 12

How many different four-digit numbers can be made

michaela134

25.01.2022

Step-by-step explanation: 6 digits squared

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dolphin5836

05.05.2021

It can't be expressed in that form

Step-by-step explanation:

From difference of two squares:

${ \boxed{(a + b)(a - b) = ( {a}^{2} - {b}^{2} )}}$

a » 9

b » 2i

$(9 + 2i)(9 - 2i) = \{ {(9)}^{2} - {(2i)}^{2} \} \\ \\ = (81 - 4 {i}^{2} )$

but i² is -1 [ complex numbers ]

$= \{81 - 4( - 1) \} \\ = 81 + 4 \\ = 85$

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