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How many different bit strings can be transmitted if the string must begin with a 1 bit, must include three ad - ditional 1 bits

How many different bit strings can be transmitted if the string must begin with a $1$ bit, must include three ad $-$ ditional $1$ bits $($ so that a total of four $1$ bits is sent $),$ must include a total of $12 0$ bits, and must have at least two $0$ bits following each $1$ bit?

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How many different bit strings can be transmitted if the string must begin with a 1 bit, must include three ad - ditional 1 bits

How many different bit strings can be transmitted if the string must begin with a 1 bit, must include three ad- ditional 1 bits (so that a total of four 1 bits is sent), must include a total of 120 bits, and must have at least two 0 bits following each 1 bit?

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How many different bit strings can be transmitted if the string must begin with a $1$ bit, must include three ad $-$ ditional $1$ bits $($ so that a total of four $1$ bits is sent $),$ must include a total of $12 0$ bits, and must have at least two $0$ bits following each $1$ bit?