what are the number of ways of selecting 30 people from a group of 45 people if 7 people are always selected
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Given : selecting 30 people from a group of 45 people 7 people are always selected
To find : the number of way
Solution:
Total People = 45
People to be selected = 30
7 people are always to be selected
Hence people more to select = 30 - 7 = 23
People remained from which to be selected = 45 - 7 = 38
Number f Ways of selecting 23 people from 38 = ³⁸C₂₃
= 15,47,12,86,560
³⁸C₂₃ is the number of ways of selecting 30 people from a group of 45 people if 7 people are always selected
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