How many different menus can be made showing 5 main courses from 15 choices? A. 72,072 B. 12,012

Question

How many different menus can be made showing 5 main courses from 15 choices?

A. 72,072

B. 12,012

C.3,003

in progress 0
Vivian 2 weeks 2022-01-12T06:40:17+00:00 1 Answer 0 views 0

Answers ( )

    0
    2022-01-12T06:42:02+00:00

    Answer:

    3,003 different menus can be made showing 5 main courses from 15 choices

    Step-by-step explanation:

    we need to find how many different menus can be made showing 5 main courses from 15 choices

    Total of 15 choices

    5 to be selected from 15 choice

    ‘r’ is selected from n choices in nCr ways

    nCr= \frac{n!}{r!(n-r)!}

    Here 5 is selected from 15 in 15C5 ways

    15C5= \frac{15!}{5!(15-5)!}\\15C5= \frac{15!}{5!(10)!}=3003

    So 3,003 different menus can be made showing 5 main courses from 15 choices

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )