When the vowels EAI are always together, they can be supposed to form one letter.
Then, we have to arrange the letters LNDG (EAI).
Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.
The vowels (EAI) can be arranged among themselves in 3! = 6 ways.
Required number of ways = (120 x 6) = 720.
Workspace
NA
SHSTTON
17
Solv. Corr.
21
Solv. In. Corr.
38
Attempted
1 M:24 S
Avg. Time
2 / 100
6 people A,B,C,D,E and F sit around a table for dinner. Since A does not like C, he doesn't sit either opposite or beside C.B and F always like to sit opposite each other.
If A is beside F then who is are the two neighbours of B?
As shown in this diagram , D and E are two neighbours of B.
Workspace
NA
SHSTTON
7
Solv. Corr.
26
Solv. In. Corr.
33
Attempted
0 M:39 S
Avg. Time
3 / 100
6 people A,B,C,D,E and F sit around a table for dinner. Since A does not like C, he doesn't sit either opposite or beside C.B and F always like to sit opposite each other.
If D is adjacent to F then who is adjacent to C?
Six friends go to pizza corner there are 2 types of pizzas. And six different flavors are there they have to select 2 flavors from 6 flavors. In how many ways we can select?
Number of ways 2 flavors can be selected out of 6 flavors = 6c2 = 15
Number of ways pizza can be selected = 2 [there are 2 types of pizzas]
âˆ´ Number of ways to select a pizza = 2 Ã— 15 = 30 ways
Workspace
NA
SHSTTON
22
Solv. Corr.
36
Solv. In. Corr.
58
Attempted
0 M:58 S
Avg. Time
9 / 100
36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
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