Answer:
4989600
Step-by-step explanation:
The given word is MATHEMATICS
Number of letters in the given word is 11
there are 2 M's, 2 A's and 2 T's
the given word is arranged in 11! ways
three letters are repeating, so we divide by repeating occurrences
number of different arrangements =
= 4989600
Factor
7
x
7
x
out of
14
x
2
14
x
2
.
7
x
(
2
x
)
−
21
x
7
x
2
x
-
21
x
Factor
7
x
7
x
out of
−
21
x
-
21
x
.
7
x
(
2
x
)
+
7
x
(
−
3
)
7
x
2
x
+
7
x
-
3
Factor
7
x
7
x
out of
7
x
(
2
x
)
+
7
x
(
−
3
)
7
x
2
x
+
7
x
-
3
.
7
x
(
2
x
−
3
)
Answer:
k=7
Step-by-step explanation:
Add 15 to both sides, -8+15=7
So, K=7