Which one of the following is not true? a.A sequence is a real valued function defined on N b.Every function represents as sequence c.A sequence may have infinitely any terms d.A sequence may have a finite number of terms

Answer:

A simple event is one that can only happen in one way - in other words, it has a single outcome. If we consider our previous example of tossing a coin: we get one outcome

Answer:

Simple events are the events where one experiment happens at a time and it will be having a single outcome. The probability of simple events is denoted by P(E) where E is the event. The probability will lie between 0 and 1. For example, tossing of coin is a simple event.

Step-by-step explanation:

We know, from definition of binomial expansion,

[tex]\sf \: {(1 + x)}^{n} = C_0 + C_1x + C_2 {x}^{2} + ... + C_{n - 1} {x}^{n - 1} + C_n {x}^{n} \\ \\ [/tex]

can also be expanded as

[tex]\sf \: {(1 + x)}^{n} = C_n + C_{n - 1}x + C_{n - 2} {x}^{2} + ... + C_{1} {x}^{n - 1} + C_0{x}^{n} \\ \\ [/tex]

On multiply above two equations, we get

[tex]\sf \: {(1 + x)}^{2n} =(C_0 + C_1x + C_2 {x}^{2} + ... + C_{n - 1} {x}^{n - 1} + C_n {x}^{n})( C_n + C_{n - 1}x + C_{n - 2} {x}^{2} + ... + C_{1} {x}^{n - 1} + C_0{x}^{n}) \\ \\ [/tex]

As we have to find the value of

[tex]\boxed{ \sf{ \:\sf \: \:C_1 + C_1C_2 + ... + C_{n - 1}C_n \: }} \\ \\ [/tex]

Now, On comparing the coefficient of [tex]x^{n-1} [/tex] on both sides, we get

[tex]\sf \: \: (^{2n}C_{n - 1}) =C_0C_1 + C_1C_2 + ... + C_{n - 1}C_n \\ \\ [/tex]

[tex]\sf \: \: \dfrac{{2n}!}{(n - 1)!(2n - n + 1)!} =C_0C_1 + C_1C_2 + ... + C_{n - 1}C_n \\ \\ [/tex]

[tex]\sf \: \: \dfrac{{2n}!}{(n - 1)!(n + 1)!} =C_0C_1 + C_1C_2 + ... + C_{n - 1}C_n \\ \\ [/tex]

can be rewritten as

[tex]\sf \: \:C_1 + C_1C_2 + ... + C_{n - 1}C_n = \dfrac{{2n}!}{(n - 1)!(n + 1)!} \\ \\ [/tex]

[tex]\qquad\boxed{ \sf{ \: \because \: C_0 = 1 \: }} \\ \\ [/tex]

Hence,

[tex]\sf\implies \sf \: \:C_1 + C_1C_2 + ... + C_{n - 1}C_n = \dfrac{{2n}!}{(n - 1)!(n + 1)!} \\ \\ [/tex]

Answer:

The distance between the layers is 335 pm.11-Jun-2019 but the answer is c

Answer:

What is this i can't understood?? please given me a brainlists

Answer:

Explanation:

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