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Please help me to solve these problems based on permutation & combination: [1] Number of six digit numbers which have 3 digits even and 3 digits odd. If each digit is to be usedatmost once is____ [2] 18 points are indicated on the perimer of the triangle ABC. How many triangles are there with vertices at these points? (A) 331 (B) 408 (C) 710 (D) 711 Please explain step by step each question.

Please help me to solve these problems based on permutation & combination:

[1] Number of six digit numbers which have 3 digits even and 3 digits odd. If each digit is to be usedatmost once is____

[2] 18 points are indicated on the perimer of the triangle ABC. How many triangles are there with vertices at these points?
(A) 331
(B) 408
(C) 710
(D) 711
Please explain step by step each question.

Grade:11

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
6 years ago
Hello student,
Please find the answer to your question below
2)Total number of triangle =18C3
but triangle can not be formed by joing the point which are in straight line
so possible triangle =18C3 -3*7C3=711
Your 1stquestion is not complete please check the question and post it again so that i can provide you a meaningful answer

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