There are $19$ hockey players in a club. On a particular day $14$ were wearing the prescribed hockey shirts, while $11$ were wearing the prescribed hockey pants. None of them was without hockey pant or hockey shirt. How many of them were in complete hockey uniform?

8

No worries! We‘ve got your back. Try BYJU‘S free classes today!

6

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

9

No worries! We‘ve got your back. Try BYJU‘S free classes today!

7

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $6$
$n (S \cup P) = 19$
$n (S) = 14$
$n (P) = 11$
$n (S \cup P) = n (S) + n (P) - n (S \cap P)$
$19 = 14 + 11 - n (S \cap P)$
$n (S \cap P) = 25 - 19 = 6$

Suggest Corrections

Similar questions

Q. There are

19

hockey players in a club. On a particular day

14

were wearing the prescribed hockey shirts while

11

were wearing the prescribed hockey paints. None of them was without a hockey pant or a hockey shirt. How many of them were in complete hockey uniform ?

Statements:

All good hockey players are in the Indian hockey team.

'X' is not a good hockey player.

Conclusions:

I. 'X' is not in the Indian Hockey team.

II. Only good hockey players are in the Indian Hockey team.

Statements:

All good hockey players are in the Indian hockey team.

'X' is not a good hockey player.

Conclusions:

I. 'X' is not in the Indian Hockey team.

II. 'X' wants to be in the Indian Hockey team.

Q. Which hockey player was also known as the "Hockey Wizard"?

Of the members of three athletic teams in a certain school, 21 are in the basketball team, 26 in hockey team and 29 in the football team. 14 play hockey and basket ball, 15 play hockey and basket ball, 15 play hockey and football, 12 play football and basketball and 8 play all the three games. How many members are there in all ?

Join BYJU'S Learning Program

There are 19 hockey players in a club. On a particular day 14 were wearing the prescribed hockey shirts, while 11 were wearing the prescribed hockey pants. None of them was without hockey pant or hockey shirt. How many of them were in complete hockey uniform?

The correct option is B 6n(S∪P)=19n(S)=14n(P)=11n(S∪P)=n(S)+n(P)−n(S∩P)19=14+11−n(S∩P)n(S∩P)=25−19=6

There are $19$ hockey players in a club. On a particular day $14$ were wearing the prescribed hockey shirts, while $11$ were wearing the prescribed hockey pants. None of them was without hockey pant or hockey shirt. How many of them were in complete hockey uniform?

The correct option is B $6$
$n (S \cup P) = 19$
$n (S) = 14$
$n (P) = 11$
$n (S \cup P) = n (S) + n (P) - n (S \cap P)$
$19 = 14 + 11 - n (S \cap P)$
$n (S \cap P) = 25 - 19 = 6$