A committee of 12 is to be formed from 9 women and 8 men. The number of ways this can be done if men are in majority is

1024

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

1134

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

1230

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

1314

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

Open in App

Solution

The correct option is B 1134
Pattern of selection is,
Men (8)
Women (9)
No. of ways of selection
7
5
$^{8} C_{7} \times^{9} C_{5} = 1008$
8
4
$^{8} C_{8} \times^{9} C_{4} = 126$

Hence required number of ways $= 1008 + 126 = 1134$

Suggest Corrections

Similar questions

A committee of 12 members is to be formed from 9 women and 8 men. In how many ways can this be done, if at least five women have to be included in a committee?

Q. A committee of

5

is to be formed from

9

ladies and

8

men, if the committee commands a lady majority, then the number of ways this can be done, is

A committee of 12 is to be formed from 9 women and 8 men in which at least 5 women have to be included in a committee. Then the numbers of committees in which the women are in majority and men are in majority are respectively.

Q. A committee of

12

members is to be formed from

9

women and

8

men. The number of committees in which the women are in majority is

Q. A committee of

12

is to be formed from nine women and eight men. In how many ways this be done if at least five women have to be included in a committee? In how many of these committees
a. the women hold majority?
b. the men hold majority?

Join BYJU'S Learning Program

Men (8)	Women (9)	No. of ways of selection
7	5	$^{8} C_{7} \times^{9} C_{5} = 1008$
8	4	$^{8} C_{8} \times^{9} C_{4} = 126$

A committee of 12 is to be formed from 9 women and 8 men. The number of ways this can be done if men are in majority is

The correct option is B 1134Pattern of selection is,Men (8) Women (9) No. of ways of selection7 5 8C7×9C5=10088 4 8C8×9C4=126Hence required number of ways =1008+126=1134

The correct option is B 1134
Pattern of selection is,
Men (8)
Women (9)
No. of ways of selection
7
5
$^{8} C_{7} \times^{9} C_{5} = 1008$
8
4
$^{8} C_{8} \times^{9} C_{4} = 126$

Hence required number of ways $= 1008 + 126 = 1134$