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IITM BS Week 6 Statistics 1 Questions | Prasnya

Statistics 1 > Week 6

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6Q

At a seminar, there are 30 participants, consisting of 20 men and 10 women. Each man shakes hands only with other men. Each woman shakes hands only with other women. If every allowed pair of people has exactly one handshake, find the total number of handshakes that occur at the seminar.

21 December 2025

In how many ways can the team be formed if two particular students must be included?

22 December 2024

In how many ways can the team be formed if two particular students must not be included?

22 December 2024

Which of the following options is(are) correct?

Multiple correct

01 September 2024

A quiz team of 5 students is to be chosen from a class of 6 boys and 4 girls. Find the probability that there is exactly 3 girls in the team out of the selected 5 students. (Enter the answer correct to 2 decimal places.) The number of ways to choose 5 students from 10 is:

\binom{10}{5}

= 252. We want to select exactly 3 girls (which implies exactly 2 boys). The number of ways to do this is: - Choosing 3 girls from 4:

\binom{4}{3}

= 4 - Choosing 2 boys from 6:

\binom{6}{2}

= 15 Total successful outcomes =

\binom{4}{3} \cdot \binom{6}{2}

= 4 * 15 = 60. The probability is: P =

\frac{60}{252} = \frac{5}{21}

≈ 0.2381. Rounding to 2 decimal places, we get 0.24 (accepted range: 0.21 to 0.27).

03 September 2023

A box contains 2 red pens, 3 black pens and 4 blue pens. In how many ways can 3 pens be drawn from the box, if at least one black pen is to be included?

03 September 2023

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Complete question index for this section:

Question 1 (integer):
Question 2 (comprehension):
Question 3 (comprehension):
Question 4 (multiple):
Question 5 (integer):
Question 6 (single):