Here's a super interesting problem for you. Its been really hard to find such pretty problems. This can be solved with JEE knowledge, so you should be able to do it :) .
We want to create a 'Divisible Sequence' of length H from a number N. In a Divisible Sequence, every term (except the starting number) is a divisor of the previous term. Examples of Divisible Sequences of length 3 starting with 10 are:
10, 10, 5
10, 2, 2
10, 10, 1
10, 1, 1
As you can see, there are many Divisible Sequences of length 3 starting with 10. Tell me the number of Divisible Sequences of length 10 starting with 264600.
We want to create a 'Divisible Sequence' of length H from a number N. In a Divisible Sequence, every term (except the starting number) is a divisor of the previous term. Examples of Divisible Sequences of length 3 starting with 10 are:
10, 10, 5
10, 2, 2
10, 10, 1
10, 1, 1
As you can see, there are many Divisible Sequences of length 3 starting with 10. Tell me the number of Divisible Sequences of length 10 starting with 264600.
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ReplyDeleteis it (144)C9
ReplyDelete144C9 is larger than 264600^10. So your answer is wrong.
ReplyDeleteI hope it is (10C3*10C2)^2..!!
ReplyDeletereply pleaseee..!!
ReplyDelete102414400. bhaiya i did a small mistake first. calculated using calculator.
ReplyDeletealso, this i hav calculated by equating it with the no. of solns. of n1n2n3n4n5....n10 = 264600where all of ni s are its factors