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`        A class has nย  students. We have to form a team of the student including at least two students and also excluding atleast two student. The number of ways of forming the team is :`
10 months ago

Arun
22570 Points
```							As team should consist of at least 2 and at most (n โ 2) students out of n students, so required number of ways = 2 students or 3 students ........or (n โ 3) students or (n โ 2)students.โ number or ways = nC2 + nC3 + nC4 + ...... nCn โ 3 + nCn โ 2 ...... (I)nC0 + nC1 + nC2 + nC3 + ........ + nCn โ 2 + nCn โ 1 + nCn = 2nโ nC2 + nC3 + ......... + nCn โ 2 = 2n โ nC0 โ nC1 โ nCnโ1 โ nCnย โ nC2 + nC3 + ......... + nCn โ 2 = 2n โ 1 โ n โ n โ 1โ nC2 + nC3 + ......... + nCn โ 2 = 2n โ 2n โ 2 ......... (II)Substituting (II) in (I),Number of ways = 2n โ 2n โ 2ย Hence, number of ways of forming a team: (1) 2n โ 2n โ 2ย Hope it helps!
```
10 months ago
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