In how many ways can 4 boys and 3 girls be seated in a row containing 7 seats || Permutation

In how many ways can 4 boys and 3 girls be seated in a row containing 7 seats if they may sit anywhere?if the boys and girls must alternate?if all three girls are together?if girls are occupy odd seats?
In how many ways can 5 boys and 4 girls be seated in a row containing 9 seats if they may sit anywhere?if the boys and girls must alternate?if all the girls are together?if girls are occupy odd seats?
Permutations and Combinations | Counting | Infinity Learn #basic_mathematics #basic_maths #counting
Permutations and Combinations part-1| Counting | Infinity Learn || basic principle of counting
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EXERCISE 1.1
A football stadium has four entrance gates and nine exists.In how many different ways can
a man enter and leave the stadium?
2
There are six doors in a hostel.In how many ways can a student ente the hostel and leave
by a different door?
In how many ways can a man send three of his children to seven different colleges of a
certain town?
Suppose there are five main roads between the cities A and B. In how many ways can a
man go from a city to the other and return by a different road?
5.
There are five main roads between the cities A and Band four between Band C.In how
many ways can a person drive from A to C and return without driving on the same road
twice?
6.
How many numbers of at least three different digit numbers can be formed from the
integers 1,2,3,4,5,6?
7.
How many three different digit numbers less than 500 can be formed from the integers 1,
2,3,4,5,6?
8.
Of the numbers formed by using all the figures 1,2,3,4,5 only once,how many are even?
9.
How many different digit numbers between 4000 and 5000 can be formed with the digits
2,3,4,5,6,7?
10.
How many numbers of three different digit numbers can be formed from the integers 2,3,
4,5,6? How many of them will be divisible by.5?
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In how many ways can 4 boys & 3 girls be arranged in row of 7 seats? Class 12 Permutations
4. In how many ways can 4 boys and 3 girls be arranged in a row of 7 seats ?
a) If they may sit anywhere ?
b) If the boys and girls must alternate ?
c) If all three girls are together ?
d) If girls are to occupy odd seats ?
Class-12 Lesson 1, Permutation and Combination. Mathematics
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