An invitation is required to be sent to a delegation for the healthcare meeting. In how many ways can Rohit invite at least 4 delegates out of the total of 8 ?
Answers
Given : An invitation is required to be sent to a delegation for the healthcare meeting.
To Find : In how many ways can Rohit invite at least 4 delegates out of the total of 8 ?
Solution:
invite atleast 4 delegates
=> 4 , 5 , 6 , 7 or 8 invites
Number of ways 4 Delegates invited = ⁸C₄ = 70
Number of ways 5 Delegates invited = ⁸C₅ = 56
Number of ways 6 Delegates invited = ⁸C₆ = 28
Number of ways 7 Delegates invited = ⁸C₇ = 8
Number of ways 8 Delegates invited = ⁸C₈ = 1
Total Ways = 70 + 56 + 28 + 8 + 1
= 163
in 163 Ways Rohit can invite atleast 4 delegates out of the total of 8
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