exam Maths Puzzle Numerical Ability

Jasmine says that there are 362,880 distinguishable permutations of the letters in the word TEXTBOOKS. Do you agree? Justify your answer.

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exam Other Question

solve using augmented matrices
2x+y+z=0
3x-2y-3z=-21
4x+5y+3z=-2 The problem states to rationalize the denominator.

The sqrt of 2 - 4/z^2 + 2/z^4

I came up with (z^2 - 1) * sqrt of 2 over z^2

Any help would be greatly appreciated. Thanks!