If is the number of ways in which 3 distinct numbers can be selected from the set so that they form a G.P. then the value of is |

If is the number of ways in which 3 distinct numbers can be selected from the set so that they form a G.P. then the value of is |

1 Answer - 5876 Votes

3537

If three numbers are in G.P., then their exponent must be in A.P. If a,b,c are selected number in G.P., then the exponent of a and both are either odd or even, ot otherwise exponent will not be integer will not be integer Now two odd exponent (from 1,2,3,…,10) can be selected in ways and two even exponent can be selected in ways Hence number of G.P.’s are |