raju is one among 15 boys , in how many ways a team of eleven be formed ?how many of these contain raju
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Total number of boys = 15
Number of boys in a team = 11
so, number of ways a team of 11 boys be formed = ¹⁵C₁₁ = 15!/4! × 11! =
= 15 × 14 × 13 × 12/4 × 3 × 2
= 5 × 7 × 13 × 3 = 1365
again, when it is require to select 'Raju'
Then, only 10 boys have to select among 14 boys .
So, number of ways = ¹⁴C₁₀ = 14!/4! × 10!
= 14 × 13 × 12 × 11/4 × 3 × 2
= 7 × 13 × 11 = 1001
Number of boys in a team = 11
so, number of ways a team of 11 boys be formed = ¹⁵C₁₁ = 15!/4! × 11! =
= 15 × 14 × 13 × 12/4 × 3 × 2
= 5 × 7 × 13 × 3 = 1365
again, when it is require to select 'Raju'
Then, only 10 boys have to select among 14 boys .
So, number of ways = ¹⁴C₁₀ = 14!/4! × 10!
= 14 × 13 × 12 × 11/4 × 3 × 2
= 7 × 13 × 11 = 1001
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