A team of 5 students is to be selected from 12 students. If two particular students are to be included in…

A team of 5 students is to be selected from 12 students. If two particular students are to be included in that team, then the number of ways that such team can be selected is
  1. 792
  2. 180
  3. 120
  4. 90

Solution

Since 2 particular students are always being selected Hence number of vacant place in 5 member team $=5-2=3$ Hence Now total available students $=12-2=10$ Therefore Required No. of ways $=$ ways for selecting 3 students from available 10 students $ ={ }^{10} C_3=120 $

Asked in: AP EAMCET 2023 (15 May Shift 1)

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