In a group of 6 boys and 4 girls, four children are to be selected. In how many

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Question
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
Options
A. 209
B. 290
C. 200
D. 208

Correct Answer

209

Explanation

We may have (1 boy and 3 girls) or (2 boys and 2 girls) or (3 boys and 1 girl) or (4 boys).

Required number of ways = $(6 C_{1} * 4 C_{3}) + (6 C_{2} * 4 C_{2}) + (6 C_{3} * 4 C_{1}) + 6 C_{4}$

= $(6 C_{1} * 4 C_{1}) + (6 C_{2} * 4 C_{2}) + (6 C_{3} * 4 C_{1}) + 6 C_{2}$ = 209.

More questions

1.
The value of 47 / 10000 is?
Options
A. .0047
B. .0470
C. .00047
D. .000047

Discuss

Correct Answer: .0047

Explanation:

47/10000 = .0047

2. If 4x = 18y, then the value of ( x/y - 1) is
Options
A. 1 3
B. 7 2
C. 2 3
D. 3 2

Discuss

Correct Answer: 7 2

3.
If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?
Options
A. 144
B. 158
C. 159
D. 166

Discuss

Correct Answer: 144

Explanation:

4.
.02 =(......?.....)%
Options
A. 20
B. 2
C. .02
D. .2

Discuss

Correct Answer: 2

Explanation:

.02 =(2/100) x 100% =2%

5.
If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?
Options
A. 45
B. 55
C. 60
D. 72

Discuss

Correct Answer: 60

Explanation:

6.
2?63 / 11 =233
Options
A. 4
B. 3
C. 6
D. 5

Discuss

Correct Answer: 5

Explanation:

Let N / 11 = 233
Then, N = 233 x 11 = 2563
? Missing digit is 5.

7.
When 121012 is divided by 12, the remainder is
Options
A. 0
B. 2
C. 3
D. 4

Discuss

Correct Answer: 4

Explanation:

121012 = 12 x 10084 + 4
? remainder = 4

8.
Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?
Options
A. 18 days
B. 21 days
C. 3 days
D. 6 days

Discuss

Correct Answer: 18 days

Explanation:

We have the important relation, More work, More time (days)
? A piece of work can be done in 6 days.
? Three times of work of same type can be done in 6 x 3
= 18 days

9.
750.0003 � 19.999 =?
Options
A. 49
B. 18
C. 22
D. 38

Discuss

Correct Answer: 38

Explanation:

? = 750.0003 � 19.999
? ? ? 750 � 20
? ? ? 375 ? 38

10.
105, 85, 60, 30, 0, - 45, - 90?
Options
A. 0
B. 85
C. -45
D. 60

Discuss

Correct Answer: 0

Explanation:

Subtract 20, 25, 30, 35, 40, 45 from successive numbers. So 0 is wrong.

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In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

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