Register

CMI-2019-DataScience-A: 7

• edited by
146 views
0 votes
0 votes

We need to choose a team of $11$ from a pool of $15$ players and also select a captain. The number of different ways this can be done is:

  1. $\begin{pmatrix}15\\11 \end{pmatrix}$
  2. $11\cdot \begin{pmatrix}15\\11 \end{pmatrix}$
  3. $15\cdot 14\cdot 13 \cdot 12 \cdot 11\cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5$
  4. $(15\cdot 14\cdot 13 \cdot 12 \cdot 11\cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5)\cdot 11$
• edited by
User Avatar

1 Answer

Voting & Accepting an answer helps improve the community
← PreviousNext →
← Previous in categoryNext in category →

Related questions

0 votes
0 votes
1 answer
2
soujanyareddy13 asked Jan 29, 2021
170 views
CMI-2019-DataScience-A: 1
Let $X=\{ x_1,x_2,\dots,x_n\}$ and $Y=\{y_1,y_2\}$. The number of surjective functions from $X$ to $Y$ equals $2^n$ $2^n-1$ $2^n-2$ $2^{n/2}$
Let $X=\{ x_1,x_2,\dots,x_n\}$ and $Y=\{y_1,y_2\}$. The number of surjective functions from $X$ to $Y$ equals$2^n$$2^n-1$$2^n-2$$2^{n/2}$
User Avatar
0 votes
0 votes
1 answer
3
soujanyareddy13 asked Jan 29, 2021
195 views
CMI-2019-DataScience-A: 2
If $P(A\cup B)=0.7$ and $P(A\cup B^c)=0.9$ then find $P(A).$
If $P(A\cup B)=0.7$ and $P(A\cup B^c)=0.9$ then find $P(A).$
User Avatar
0 votes
0 votes
1 answer
4
soujanyareddy13 asked Jan 29, 2021
165 views
CMI-2019-DataScience-A: 3
Which of the following statements are true for all $n\times n$ matrices $A,B:$ $(A^T)^T=A$ $|A^T|=|A|$ $(AB)^T=A^TB^T$ $(A+B)^T=A^T+B^T$
Which of the following statements are true for all $n\times n$ matrices $A,B:$$(A^T)^T=A$$|A^T|=|A|$$(AB)^T=A^TB^T$$(A+B)^T=A^T+B^T$
User Avatar
Link Copied!