Question

what are the number of ways of selecting 30 people from a group of 45 people if 7 people are always selected​

Answer 1

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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