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Ground state of three noninteractingnon-interacting fermions at an infinite well

In Zettili's Quantum Mechanics, page 477, he wants to determine the energy and wave function of the ground state of three noninteractingnon-interacting identical spin 1/2 particles confined in a one-dimensional infinite potential well of length a. He states that one possible configuration of the ground state wave function is: enter image description here

But this shows that there are particles in the same state, despite being fermions. Is there something wrong here?

Ground state of three noninteracting fermions at an infinite well

In Zettili's Quantum Mechanics, page 477, he wants to determine the energy and wave function of the ground state of three noninteracting identical spin 1/2 particles confined in a one-dimensional infinite potential well of length a. He states that one possible configuration of the ground state wave function is: enter image description here

But this shows that there are particles in the same state, despite being fermions. Is there something wrong here?

Ground state of three non-interacting fermions at an infinite well

In Zettili's Quantum Mechanics, page 477, he wants to determine the energy and wave function of the ground state of three non-interacting identical spin 1/2 particles confined in a one-dimensional infinite potential well of length a. He states that one possible configuration of the ground state wave function is: enter image description here

But this shows that there are particles in the same state, despite being fermions. Is there something wrong here?

1
source | link

Ground state of three noninteracting fermions at an infinite well

In Zettili's Quantum Mechanics, page 477, he wants to determine the energy and wave function of the ground state of three noninteracting identical spin 1/2 particles confined in a one-dimensional infinite potential well of length a. He states that one possible configuration of the ground state wave function is: enter image description here

But this shows that there are particles in the same state, despite being fermions. Is there something wrong here?