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Find the no. of strictly increasing sequences of positive integers begin with 1 and end with 1000 ?

Find the no. of strictly increasing sequences of positive integers begin with 1 and end with 1000 ?

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
12 years ago

Dear Sanchit Gupta

between 1 and 1000 we have 998 positive intiger

first term of series is 1

last term of series is 1000

in between these two term 998 term can be added

and each 998 positive intiger can occur in 2 ways either it will appear or not


so number of posible sequence is   1* 2*2*2*2.........998 times *1

                                              =2998

                                             


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