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A flight has 175 passengers. 3 of them will be chosen to get an upgrade to first class. How many groups of 3 are possible?

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Answer:

877975

Step-by-step explanation:

Given that :

Total number of passengers, n = 175

Number who gets an upgrade, x = 3

Number of different groups who could get an upgrade :

We solve this using combination :

nCr = n! ÷ (n-r)!r!

175C3 = 175! ÷ (175 - 3)!3!

175C3 =175! ÷ (172)!3!

175C3 = 877975

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