Question

In how many ways can we select $5$ numbers from $1$ to $40$ so as to exclude every selection of five consecutive numbers is

• A. $958008$
• B. $56205$
• C. $56002$
• D. none of these

Answer 1

The correct option is A $958008$

Total numbers are $1$ to $40$ ($40$ in numbers)

Number of numbers to be selected$=5$

General selection ${=}^{40}{C}_5=658008$

Hence the correct answer is $658008$