Archive for category Maths

Ultimate concept 14(binomial theorem)

Note that

For |x|<1

Now for |x|<1, we have

By using the identity and equating coefficients we can solve several problems of sequence and binomial.

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Challenge 49(permutation combination)

See ultimate concept 13

The number of ways 3 children can distribute 10 tickets

out of 15 consecutively numbered tickets among themselves

such that they get consecutive blocks of 5, 3, and 2 ticket is:

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Challenge 55(inverse trigonometry)

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Challenge 54(differential equation)

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Challenge 52(definite integration)

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Challenge 51(basic algebra)

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Challenge 50(sequence)

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